microstrip line calculator. 05/25/2007: Printed Dipole Antenna using. microstrip line calculator

 
 05/25/2007: Printed Dipole Antenna usingmicrostrip line calculator The use of a standardized impedance makes RF design much more practical and efficient

Impedance calculation. Microstrip Calculator computes a microstrip's height/width ratio, impedance and relative dielectric constant for a microstrip transmission line. Description. While commonly constructed using printed circuit boards, this structure can also be built using other materials as long as there is a conductor separated from. For example, if u = 1 and ε r = 10, then from the figure, Z 0 ε e = 126 Ω and ε e / ε r = 0. The microstrip line parameters, such as characteristic impedance (Z 0 ), effective dielectric constant (ε r,eff ), and physical dimensions, can be calculated using. 3 shall be used. Unequal-split Power Divider Calculator. 1: 300-to- 50 Ω match using an quarter-wave section of line. 6 GHz f Higher - Microstrip = c / ( 4 h ε r − 1) = 10. Matching T Attenuator A two part calculator which gives ideal and preferred value resistors, showing most formulas used and a link to the others. y = mx + b y = m x + b. 0 0. Calculators. The propagation delay of the microstrip line. 3 shall be used. The IPC-2141 trace Impedance calculator will help make initial design easier by allowing the user to input basic parameters and get a calculated impedance according to the IPC-2141 standard. The patch cutout for the feed inset should be > 2 times the microstrip width. for (s/t) < 5. Grounded Coplanar WaveguideThe intensity B of the magnetic field of a solenoid composed of coils wound in air (that is, without a ferromagnetic core) can be calculated using the following formula: where: μ 0 = 4Π x 10 -7 H/m is the magnetic constant (vacuum permeability) N is the number of turns. Resistance in mOhm/inch. Latest News 04/20/2011: Noise Figure calculator added. 1 Answer. Microstrip Patch Antenna Calculator Calculate dimensions and edge impedance for desired resonant frequency. Above. Include both the pcb dielectric thickness as well as the wire insulation in the height calculation. A microstrip line with (Z_{0} < 20:Omega) will be wide and there is a possibility of multimoding due to transverse resonance. This online microstrip impedance calculator calculates the characteristic impedance of the microstrip (Ω), W/H ratio, and effective dielectric constant (εe) by entering the value of dielectric material relative permittivity (εr), the width of the copper trace (W), and dielectric height (H). 4 GHz operation on a substrate with 2. Light weight. For 25 ohms, we calculate 31 mils line width and 7. Noise Conversion Calculator. This distributed inductance and capacitance is the basis of the classic L-C model for a transmission line and it accounts for the. Where L is the length of the dipoles. Be aware that there are many microstrip impedance calculators on the Internet that give sometimes widely varying results. X. of EECS To determine these four elements, we can apply a source to port 1 and then terminate all other ports: Typically, a coupled-line coupler schematic is drawn without explicitly showing the ground conductors (i. Microstrip lines are a type of transmission line commonly used in RF and microwave circuits due to their quasi-TEM mode of propagation and flexibility. The following tr. Assume microstrip line for which propagation occurs with. The "optimum" mitered bend equations for microstrip were found empirically way back in the 1970s. Active VB Script calculator for microstrip transmission line based on a formula by Brian C Wadell, giving characteristic impedance and effective dielectric constant, with equations used. 2 as a function of the width and height of the section of the waveguide as well as the permittivity. Figure 10 shows about a 3. A power divider is a three-port microwave device that is used for power division or power combining. To determine the width (W), the microstrip patch antenna calculator was used to provide an initial starting point. The source for formulas used in this calculator (except where otherwise noted) is the Design Guide for Electronic Packaging Utilizing High-Speed Techniques (4th Working Draft, IPC-2251, February 2001. The width of the copper trace, the length of the open-ended stub and the length of the feeding line are 1. Half-wave and quarter-wave microstrip lines are used to design lumped elements. Coax loss will be about 10X higher (in dB). Access a free microstrip impedance calculator; View a list of all of our free online calculators; Calculator Inputs. 9). Units do not matter as long as they are consistent. Output. An embedded microstrip can be constructed using a microstrip with a solder mask. 31 Ohm. Coupled Microstrip Analysis/Synthesis Calculator. Description. Normally, we are using a coaxial cable and a connector with. At the very bottom of the calculator are buttons to exit (Done) and to access the online Help. THESE FORMULAS ARE APPROXIMATIONS! They should not be used when a high degree of accuracy is required. It consists of rectangular substrate and the metal trace layer as shown in Fig. That’s why it is important for us to use the right microstrip line calculator to get an accurate value. Grover, Dover Publications, 2004 . You can ignore the rest of the substrate parameters. Calculate Z 0 as normal Microstrip, until you get the desired value, e. AppCAD Free Design Assistant Tool for Microsoft Windows. Differential microstrip impedance calculator; Differential stripline impedance calculator; If you want to get more accurate calculations, and you want to account for more advanced challenges like copper roughness, you will need a more advanced calculator. Asymmetric Stripline. Choose from different models of microstrip, such as edge coupled, differential, wire, embedded, or stripline, and adjust the input and output parameters. 4. In fact, striplines often make components such as band-pass filter's more accurately, with more symmetric roll-off and no lower cutoff frequency. The physical characteristics of the microstrip transmission line include the conductor width (w), the. PCB Impedance and Capacitance of Microstrip calculate the pcb impedabce and capacitance of microstrip. *Solder resist PCB coating will have the effect of lowering the impedance (due to the 30um or so of Er 3. Our coaxial cable impedance calculator allows you to enter the outer diameter dielectric width, Inner conductor diameter width and either the dielectric constant or velocity of propagation (VoP) values. Edge Coupled Microstrip Impedance Calculator. So, the dielectric at my 5-6GHz frequency range is 3. The new rfTlineLib contains wideband-accurate transmission line models in multi-conductor microstrip and stripline configurations. Input the parameter of the circuit board and center frequency. This tool is designed to calculate the resistance of a microstrip trace with a copper conductor. 4748 x e -10 x (25. A microstrip line : basically you have a net on the top driving the signal and a ground plane on the PCB bottom; microstrip line. ε R. good resolution compared with ADS etc EM simulator - GitHub - yangli0534/microstrip_calc: microstrip line analysis and synthesis,. Click the button corresponding to the characteristic impedance to calculate its value. Above. In some. At low frequencies, where skin depth is greater than conductor width and thickness is greater than ground plane thickness, ac resistance is approximately the same as the dc resistance. Provide values for H, T, W and the relative permittivity of the dielectric and click the button corresponding to unknown parameter Z o to calculate its value. 5. Enter the values of trace width (w), trace thickness. This calculator computes the trace width of a microstrip given the following information: maximum current, trace thickness, temperature rise, ambient temperature, and length. For this calculation the diameter and length units are in cm. 6 mm. Both calculations were done with a dielectric constant of 4. A microstrip line is a microwave transmission line composed of a single conductor strip supported on a dielectric substrate. 05/25/2007: Printed Dipole Antenna using. A cross-section of a microstrip transmission line is shown below. Go to the. d = Trace Separation. 6046. Press Analyze to see the results. Dimensions are in meters. If there is something in the microwave universe that you need a different calculator for, drop us a note and we'll see what we. 6 mils line width, and the effective dielectric constant is 6. 0 (modified)) A microstrip line is single-ended 1 in the sense that the conductor geometry is asymmetric and the one conductor – namely, the ground plane – also normally serves as ground for the source and load. Their low profile design, often square or rectangular, allows them to be mounted to flat surfaces. 39 for the effective dielectric constant. The characteristic impedance (Z o) of a microstrip transmission line can be calculated using the active calculator or the formula at the bottom of the page. Microstrip Patch Antennas (or simply patch antenna) are increasingly useful because the antenna is printed directly onto a circuit board. A microstrip transmission line consists of a narrow metallic trace separated from a metallic ground plane by a slab of dielectric material, as shown in Figure 3. Polar or rectangular grids only allow direct reading of S11. 63261 [-] kodd =. 1 Lecture 3 Microstrip Line 1. A cross-section of a microstrip transmission line is shown below. THESE FORMULAS ARE APPROXIMATIONS! They should not be used when a high degree of accuracy is required. Microstrip lines' primary functions are transferring power from one point to another, dividing or combining power. The skin effect is a phenomenon that increases the effective resistance of the microstrip line and boosts ohmic losses. (1) When the characteristic impedance (Zo) of the line width (w) is calculated. This can be set to zero, but the calculated loss will not include conductor losses. These include dielectric thickness (h), target impedance (Zo), and relative dielectric constant (εr). The dielectric material and the air above the microstrip makes it a transmission line with the inhomogenous dielectric. 55mm ; the Thickness once finished is 35um. Er eff = (0. Microstrip Transmission Line Calculator Using IPC-2141 Equation. 635 mm, W = 0. Use this calculator to calculate the effective dielectric constant, loss, and effective frequency of a microstrip transmission line based on the substrate parameters, conductor parameters, and frequency. The microstrip line calculator is also essential in high-speed digital circuits, where signal integrity is crucial. 6 ohms and Z even = 110 ohms for your geometry, very close to your result. The microstrip line calculator makes it possible to calculate the characteristic impedance of a microstrip line from the ratio between the width of the line and the height of the substrate as well as the parameters of the substrate. 319e-10 Henries, C1 = 5. First the model of the microstrip patch antenna has to be drawn in HFSS. Click here to go to our page. The basic model of a microstrip transmission line is shown in Fig. Select the box with the geometry that you would like to calculate. Identify best matched Rogers' bonding material by sorting according to design attributes. Hammerstad and others provide well-accepted formulas for calculating the effective permittivity and characteristic impedance of microstrip lines [1–3]. 19. , without the ground plane): βADescription. Microstrip Line. The rule of thumb is approx 1/3 of the distance between the two edges. For Eurocircuit these information are given in the price calculator interface. Skin Depth Calculator. Just enter the given values for trace thickness, substrate heights, trace width and subtrate dielectric in the calculator above and. 6 mm 2, about 0. 09/08/2007: Online VSWR calculator added. To use this tool, enter the values for. VSWR Calculator Calculate voltage standing wave ratio (VSWR) and return loss for mismatched circuit. 4GHz resonant frequency using the transmission line model. For example, if you wish to input "25000000", just type "25M" instead. The defects on the ground plane disturb the current distribution of the ground plane; this disturbance changes the characteristics of a. Metal loss is reduced by thicker substrates, and is almost inversely proportional. 4. Microstrip Max Current Calculator. Microstrip PCB Impedance in an electric circuit causes an electromotive force to be generated by a change in the current flowing. Click here to go to our page on even and odd mode impedances. Microstrip Crosstalk Calculator Stripline Crosstalk Calculator. • shielded microstrip line. 2 are defined as. A. We'll replace the model with a layout one of these days, it will help illustrate the point better. 0; 1 < ε r < 15 ) Select the units for all dimensions: mm mils. EEWeb offers a free online twisted pair impedance (transmission line) calculator. • Coplanar wave guide. Frequency: Frequency at which the stripline is analyzed or. Matlab/Freemat file 1. Coplanar Waveguide Calculator. 6mm at 10GHz. Following Phase shift formula is used by this phase angle calculator. Fig 1: Structure of Inset feed Rectangular Patch Antenna In this design of rectangular Microstrip Patch Antenna design a dielectric material of FR4 is used with the height of 2. Dielectric Thickness: mm. Visit to learn about our other electronics tools and resources. Synthesize Enter values for Zo and Electrical Length to determine the physical width and length of the microstrip line. We apply equations from Equation (11) to Equation (21) [88] to construct a rectangular microstrip patch antenna with. Then the transverse field is dominant and the fields are called quasi-TEM. 57 mm thickness. Go to our microwave calculator page, our microstrip calculator does this calculation for you! It's time for a Microwaves101 Rule of Thumb! For pure alumina (ε R =9. hi balanis antena theory book thay have give example problem. Use this online tool to calculate the height/width ratio, impedance and relative dielectric constant of a microstrip transmission line for any given characteristic impedance and electrical length. 5mm. By determining its trace resistance, the contribution of a microstrip to the overall circuit resistance can be evaluated. 3mil seems like a substantial enough difference. Microstrip Patch Antenna Calculator Calculate dimensions and edge impedance for desired resonant frequency. QUCS/ADS linecalc gives: 2mm at 5GHz. Versión: 1. It is also a relatively common antenna. Modified. The characteristic impedance of a micro strip is a function of the strip line width (ω), thickness (t) and the distance between the line and the ground plane (h). 6 GHz. Attenuator Calculator. Input w, and click on [ Analyze ] button. Embedded Microstrip Impedance Calculator. For example: Yellow Violet Red Gold: 4 7 x100 ±5% = 4700 Ohm, 5% tolerance. This calculator is designed to calculate the characteristic impedance of an edge coupled stripline. In design, the physical dimensions must be determined given the desired electrical properties. Based on Planar Microwave Engineering by T. OverviewA microstrip patch antenna is one of the most popular microwave antennas. Zeven = 98. Figure 5. Click here to go to our page on microstrip. Note that this defines the bandwidth given the operating frequency and wavelength in free space: Microstrip patch antenna bandwidth A Microstrip Patch Antenna CalculatorCalculadora de Líneas Microstrip S. Abstract: Since the second edition of this book was published in 1996, planar transmission line technology has progressed considerably due to developments in ultrawideband (UWB) communications, imaging, and RFID applications. When designing with transmission line elements, whether with microstrip, stripline, waveguide, or coaxial cable, it is sometimes necessary to create lumped element equivalents for shunt and series capacitors and inductors. For an embedded (internal) microstrip, the formulas provided in paragraph 4. Impedance calculationA microstrip transmission line consists of a narrow metallic trace separated from a metallic ground plane by a slab of dielectric material, as shown in Figure 7. In addition to the characteristic impedance of a transmission line, the tool also calculates. A microstrip is a flat conductor separated by an insulating dielectric from a large conducting ground plane and is mostly manufactured from a printed circuit board. Article on Microstrip Lines Fig. 19 mm and a. Figure 3. Anurag Paliwal M. This figure references a microstrip line but the key aspect is the gradual change in characteristic impedance that applies to any transmission line. 0261 kHz. Following equation or formula is used for Microstrip Mitred Bend Calculator. A calculation result is. on a thermal modeling study like Johannes’s so that I may get all the necessary information to create a better calculator and/or an online thermal modeling tool that takes into account board stack-up. Microstrip line LINKSDescription. Color-Code. Also, any two models that agree with the data to better than. 64. It is easily miniaturized and integrated with microwave devices making it a popular choice of transmission line. Calculate the Differential Microstrip Impedance of a transmission line based on the the distance between the strips, height of the substrate, trace thickness and dielectric constant of the substrate. A quarter wave transformer is used to match two transmission lines with different impedances. Yes there are rules of thumb for designing chamfers. Cross-sectional view of three common transmission line circuits . Description. . **Note: Like our stripline impedance calculator, all of our RF calculators allow SI prefix input. This is a required field. 50Ω. [1] This paper constructs a simple formula of distribute conductance of a microstrip line and then of the dielectric attenuation with only one arbitrary constant, p = 1. If the dielectric constant of the material is not known, you can choose to put in the velocity of. This line consists of a metal-backed substrate of relative permittivity (varepsilon_{r}) on top of which is a metal strip. The JLCPCB results are more reliable than (some of) the simple formula-based approaches. 109-115, November 1989. microstrip = microstripLine (Name=Value) sets properties using one or more name value pair arguments. The central design problem is how to choose the function (Z_{0}(z)). You can perform calculation based on that to get the each lineThe source for formulas used in this calculator (except where otherwise noted) is the Design Guide for Electronic Packaging Utilizing High-Speed Techniques (4th Working Draft, IPC-2251, February 2001. 72mil. A Rohde & Schwarz ZVA8 vector network analyser is. RF/Microwave Design; Digital Design; Layout Services; Modeling Services; Embedded Software. Microstrip lines are used to convey microwave -frequency signals. A microstrip is created by etching a trace on a printed circuit board and is mostly used in microwave applications. The Pasternack wavelength calculator Transverse Electromagnetic Mode (TEM) allows you to determine the wavelength (in millimeters) inside a rectangular waveguide. Ground plane is assumed to be perfectly conducting and of infinite extent. Refer article >> on design of microstrip patch antenna used in the mobile phone. Using the Microwaves101 microstrip calculator, we see that 50 ohms on 10 mil alumina corresponds to 9. 18 mm) and the trace thickness (T)(0. 2. The three common microwave transmission line circuits to be discussed are shown in figure 1. Relative Dielectric Constant ( εr ): Track Width: mm. The propagation delay of the microstrip line can also be calculated, as per Eq. In this case, each coordinate in the vector starts at the origin and lies along the specified points on the x-, y-, and z-axes. They can give you some stackup options, and they can tell you the trace width you will need to reach 50 Ohms for their stackup. 4. This line consists of a metal-backed substrate of relative permittivity (varepsilon_{r}) on top of which is a metal strip. example. Figure (PageIndex{1}): Directional couplers: (a) schematic; and (b) backward-coupled. Following equation or formula is used for Microstrip Width Calculator. This microstrip line calculator gives you good data to start estimating printed circuit board dielectric thickness. 4748 x e -10 x (25. Interestingly, for a given geometry model, the delay constant in ns/ft is a function only of the dielectric constant, and not the trace dimensions (see Reference 6). Use an online differential microstrip impedance calculator; Use an online differential stripline impedance calculator; Calculating Differential vs. This calculator provides accurate microstrip transmission line analysis and synthesis. Utilize our free online electrical engineering tools, calculators, and resources. tools impedance-calculator. +/-Tolerance:Calculate Microstrip impedance for given PCB parameters. Microstrip Impedance Calculator Enter the Height, Width and Permittivity to get the Impedance of the Microstrip Note : The unit of the height and width entered must be the same. The substrate parameters (ε r and h) and the frequency of interest are required. This microstrip line width leads to a 50 Ω microstrip line on this substrate. E. This calculator is designed to calculate the inductance of a microstrip given its dimensions (width, length and the distance of the strip from the ground plane). The calculator produces more accurate results than the IPC formulas for impedance because it implements a more. Phase shift formula for phase angle calculator. Pasternack's RF Calculators and Conversions section provides engineers valuable and easy-to-use tools ranging from complex mathematical formulas to simple conversions. Home; Site Map; Microstrip line calculator. Crosstalk is unwanted coupled energy between traces. Such a microstrip is constructed similarly to the standard microstrip but uses a round conductor instead of a flat trace. Height: Height of the substrate. H. The patch antenna is designed for 2. h = rfckt. IJRRAS 8 (1) July 2011 Kwaha & al. Consider the microstrip antenna shown in Figure 1, fed by a microstrip transmission line. h = rfckt. Er eff is an effective dielectric constant for microstrips, and its value lies between 1 and Er. An embedded microstrip can be constructed using a microstrip with a solder mask. My calculation gave me that you need to place your feed at about 12. This calculator is designed to calculate the characteristic impedance of a symmetric stripline - a flat conductor between two ground planes whose distance between the conductor and the planes is the same for both reference planes. This is a required field. Microstrip consists of a strip conductor (land) on a dielectric substrate backed by a ground plane that radiates when the spacing between. page accessible in the public. Try This New Tool. Skin Depth Calculator returns skin-depth as a function of a material's resistivity and permeability, as well as the application frequency. 7 mils). Microstrip. Microstrip has conductors embedded in two dielectric mediums and cannot support a pure TEM mode. 6046 [ohm] Zodd = 47. (1) When the characteristic impedance (Zo) of the line width (w) is calculated. "Filters – Cavity Filters, Microstrip, Dielectric HFSS is an interactive simulation system whose basic mesh element is a tetrahedron. 1 dB loss through port 2 at the design frequency, whereas there is about a 4 dB loss through port 3. DESIGN DATA FOR YOUR YAGI. Where, P A = Power output of Port 2. 2 of the Microstrip Calculator, h=H1 and b=H2-H1. What is Microstrip Impedance? Description. The Circular Microstrip Patch Antenna 87 2. Differential Impedance of Microstrip. 09/08/2007: Online VSWR calculator added. 1. e. 06/08/2009: EM Talk Store added - find discount microwave engineering components and devices. Following is the list of useful converters and calculators. The dimensions of antenna can be found in the HFSS simulation file. [1] [2] [3] In other words, it is the length of the conductor measured in wavelengths. The Line-Calc in Fig. As seen here:Agilent's LineCalc tool calculates Z odd = 50. This calculator calculates the reactive near field distance, radiating near field distance (Fresnel region) and the far field distance. Fig. VSWR Calculator Calculate voltage standing wave ratio (VSWR) and return loss for mismatched circuit. The impedance Z 0 of a transmission line consisting of a circular signal conductor having a diameter d and centered between parallel ground planes separated by a distance h is given by: Eq. For this calculation, the units of d,h, t and w can be ignored as long as they have the same units (mils, mm, inches). The characteristic impedance (Z o) of a microstrip transmission line can be calculated using the active calculator or the formula at the bottom of the page. Microstrip Antenna Inset Feed Calculator One option for impedance matching is to use an inset, as shown in the image below. Chemandy on the other hand tells me 14. The microstrip calculator determines the width and length of a microstrip line for a given characteristic impedance (Zo) and electrical length or vice versa. Microstrip Transmission Line Models. For microstrip configuration, you have one reference plane below and air on the top, and therefore, Ereff is the effective dielectric constant between air and the dielectric material. there is a small gap on both side of the microstrip with patch. So two estimates have been calculated for the frequency at which the first higher-order. The required values are trace thickness, substrate heights, trace width, and subtrate dielectric in the calculator above and press the "calculate" button. The relative permittivity of the medium ϵr ≈ 1 ϵ r ≈ 1 for the. But for a substrate integrated waveguide, the width required is very large (several mm). Design a transmission line segment that matches 300 Ω to 50 Ω at 10 GHz using a quarter-wave match. If the ratio (L/W) is close to unity, the radiation pattern will be symmetric but may not provide a resonable. This will help you later to choose the best laminate materials according to impedance and trace thickness. 7 Microstrip Line. Equation Lms =. 946 for silver, or 1. Calculators. While this calculator will provide a baseline, any final design considerations should be made towards loss, dispersion, copper roughness, phase shift, etc. Caculation of RLGC Parameters of TEM Transmission Lines 2. Compared with metal waveguides, it is small in size, light in weight, bandwidth in use, high in reliability and low. First, calculate the area according to the following formula: A = (T · W · 1. The calculator below uses Wadell’s equations to determine the differential impedance of symmetric striplines, which can be found in the seminal textbook Transmission Line Design Handbook. Table 1 compares several reference diplexers with the proposed diplexer. eCalc is a free and easy-to-use online scientific calculator that supports and resembles a ti-30 with many advanced features, including unit conversion, equation solving, square roots, EE functions, and even complex-number math. 1. There is a dielectric material between them. 0 GHz; the width of the microstrip is designed for 50 Ω and the length for a 180 degree phase delay. where Z 0,surf can be computed as specified in Eq. Applied Electromagnetics - Homework 2 Solns microstrip line calculator em: talk microstrip line calculator agilent series scope getHigh frequency electronics toolbox for Microwave engineers, RF professionals, EMC technicians, radio-amateur,students, astronomer…configurations that can be used to feed microstrip antennas. • inverted microstrip line. a (Waveguide width): :An online microstrip line calculator was used to calculate the effective permittivity and line width of the 50 ohm trace at 1193 MHz. Microstrip Characteristic Impedance Calculator Using a Formula by Brian C. The Differential microstrip impedance calculator is used to compute the differential (Zd) and single-ended impedance (Zo) of an edge-coupled microstrip line just by entering the width, separation and thickness of the trace along with the dielectric thickness and constant of the coupled line. This calculator uses JavaScript and will function in most modern browsers. Note: Units do not matter for this calculation as long as they are consistent. The patch antenna, microstrip transmission line and ground plane are made of high conductivity metal. DESIGN OF A MICROSTRIP BANDPASS FILTER . 23. Waveguides are available in. The application is started with CTRL+3 or in the menu "Tools". Because of the symmetry unbalance in Microstrip, all discontinuity elements possessSignal speed in microstrip/stripline PCB design. 1) Note that a and b have the dimension power [1]. Frequency: Frequency at which the stripline is analyzed or. METHODS OF ANALYSIS There are three popular models for the analysis of microstrip antennas - viz transmission line model, cavity model, and full wave model. Visit to learn more about our other electrical engineering tools. A calculation result is indicated. Some systems use 75 Ω; this latter value is more appropriate for high-speed digital signals. Go to. IEEE defines it as "The loss between two isotropic radiators in free space, expressed as a power ratio. O. Calculators. There is also a dielectric material placed above the conductor. Click here to go to our page on microstrip. Overview. H (Dielectric thickness) :The simplified test bench setup shown in the above figure is used to measure the cross talk between two microstrip lines on a grounded substrate. 0 GHz; the width of the microstrip is designed for 50 Ω and the length for a 180 degree phase delay. Analyze Enter values for W and L for a microstrip line to determine its Zo and Electrical Length. Patch antennas are low cost, have a low profile and are easily fabricated.