strip line, which is open at one end and extends to infinity toward the and it i
ID: 2291299 • Letter: S
Question
strip line, which is open at one end and extends to infinity toward the and it is operating at 10 CH2. The dielectric constant of the substrate is 2.25. This type Determine the following: (a a center conductor urdh 0.4??, substrate height of 0.05??, of microstrip line is used to construct rectangular patch antennas. (real microstrip line at nic The input admittance the leading open edge. Is it capacitive or inductive? and imaginary pars) of the te b) What kind of a lumped element (capacitor or inductor) can be placed at the leading open edge between the center conductor of the line and its ground plane to resonate the admittance? What is the value of the lumped element? (c) The new input impedance, taking into account the presence of the lumped elementExplanation / Answer
As circuits have been reduced in size with integrated semiconductor electron devices, a transmission structure was required that was compatible with circuit construction techniques to provide guided waves over limited distances. This was realized with a planar form of singlewire transmission line over a ground plane, called microstrip1. Microstrip employs a flat strip conductor suspended above a ground plane by a low-loss dielectric material. The size of the circuit can be reduced through judicious use of a dielectric constant some 2-10 times that of free space (or air), with a penalty that the existence of two different dielectric constants (below and above the strip) makes the circuit difficult to analyze in closed form (and also introduces a variability of propagation velocity with frequency that can be a limitation on some applications). The advantages of microstrip have been well established, and it is a convenient form of transmission line structure for probe measurements of voltage, current and waves. Microstrip structures are also used in integrated semiconductor form, directly interconnected in microwave integrated circuits. Microstrip T W Waves and Impedances in Microstrip Although the presence of two dielectric regimes in microstrip precludes the strict propagation of TEM waves, the same type of transmission-line characteristics are present, as can be seen from the fact that microstrip can propagate energy down to zero frequency (direct current). Microstrip construction lends itself to small structures that can carry semiconductor devices and surface-mount lumped elements, which can be attached by automatic means. This extreme usefulness of microstrip makes the lack of an elegant closed-form solution acceptable, and accurate approximations based on the velocity/capacitance method described above are used to estimate Zo and other parameters. Unwanted modes are dealt with in part by using material with a relatively high dielectric constant, but waveguide modes are present and represent an upper frequency limit. The effects of unwanted waveguide modes can be restricted by choosing dielectric thickness less than l/4 and strip width w less
than l/2 at the highest frequency of interest. Thus, for a maximum frequency of interest fmax, we chose T < c 4fmax er and W < c 2fmax er The velocity of propagation in microstrip is relatively constant with varying w/h, and Zo can be estimated accurately using a number of methodsDownloadable software applications that provide quick analysis of microstrip and other planar transmission lines.
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