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196  Chapter Six

                              (see Chang, 1989). Calculate the characteristic impedance for a microstrip line
                              of width 0.7 mm, on an alumina dielectric of thickness 0.7 mm. The dielectric
                              constant is 9.7.
                              6.37.  For the microstripline of Prob. 6.36, calculate (a) the line wavelength (b)
                              the phase shift coefficient in rad/m, and in degrees/cm. The frequency of
                              operation is 10 GHz.

                              6.38.  The dielectric constant of polyguide dielectric is 2.32. Calculate the
                              characteristic impedance and phase shift coefficient for a microstrip line of
                              width 2.45 mm, and dielectric thickness 1.58 mm.

                              6.39.  The effective dielectric constant for a microstripline is 1.91. Design a
                              switched-line phase shifter (see Fig. 6.35) to produce a phase shift of 22.5° at
                              a frequency of 12 GHz. Show how switching might be achieved using PIN
                              diodes.
                              6.40.  Calculate the power required to drive a MEM switch, which has to
                              operate at a frequency of 8 kHz. The switch capacitance is 0.5 pF, and the drive
                              voltage needed for switching is 75 V. (Hint: The energy stored in a capacitor is
                                   2
                              1/2 CV and power is J/s.)


                              References

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                              Brown, R. E. 1998. “RF-MEMS Switches for Reconfigurable Integrated Circuits.”
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                              Chang, K. (ed.). 1989. Handbook of Microwave and Optical Components, Vol. 1. Wiley,
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