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# PS7_03 - University of Michigan Physics 340 Fall 2002 Oct...

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University of Michigan Physics 340, Fall 2002 Oct. 31, 2003 Assignment 7: Electromagnetic Waves Due: Wednesday Nov. 12 5pm in Amidei mailbox Required reading : Hirose Chap 9, French (yes) p.29-37, polarization link on Web 1. A parallel wire transmission line consists of two parallel wires each of radius a. The distance between the wires is b. (See Hirose, p 151) a. Assuming that b a ? show that the capacitance and inductance per unit length are given by ( 29 ( 29 0 0 F/m ln L ln H/m C b a b a pe m p ; ; b. Using the above, calculate the phase velocity of a current or voltage pulse on the line. c. Find the characteristic impedance Z. What are its units? d. A structure of this type is made from No. 12 wires (diameter 0.0808 inches), spaced 0.5 inches apart. Calculate C, L, v, and Z. 2. A plane loop of wire of 10 turns with area = 14 sq. cm. is perpendicular to a periodic magnetic field 0.5Tsin(60 ) (T = Tesla) B t p = . Find and sketch the induced EMF in the wire as a function of time. Find the period of the voltage oscillation.

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