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Final-FS04

# Final-FS04 - Phys 208 Theoretical Physics Final Dec 14 2004...

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Phys 208 – Theoretical Physics – Final – Dec. 14, 2004 1. (17 pts) Consider an AC circuit which has a resistor and inductor in series which is in parallel with a capacitor. The voltage source has an amplitude of 160 volts and operates at a radial frequency ω such that and . The resistor . ω L = 4 1 4 ω C = R = 2 a) Find the impedance for the circuit. b) Find the total current amplitude and the phase angle for the circuit. Does the current lag or lead the voltage? c) Determine the power factor (p.f.) for the circuit. d) Determine the average power dissipated in the circuit. 2. (17 pts) The force acting on a moving particle in a magnetic field is given by G B , where m is the mass of the particle, q is the electric charge, and is G G G G F m dv dt q v B = = × ( ) G v the velocity. Assume the magnetic field is in the z -direction, i.e., , and that the motion G B B z = ± is in the ( x, y ) plane. a) Give a reason as to why the velocity is perpendicular to the force.

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Final-FS04 - Phys 208 Theoretical Physics Final Dec 14 2004...

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