Physics 7B Smoot Review F06

# Physics 7B Smoot Review F06 - A sinusoidal AC oscillator...

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A conducting wire in the shape of a square of side L, containing a resistor of resistance R is held parallel to a wire carrying current I o . (a) Find the emf induced around the loop as a function of radial distance and radial velocity. (b) Find the net force acting on the loop as a function of radial distance and radial velocity. A coaxial cable consists of two infinitely thin cylindrical shells of radii a and b. The inner cylinder carries a current I and charge per length λ. The outer cylinder carries a current (-I) and charge per unit length –λ. How much energy is stored in the cable per unit length? (a) Find the self-inductance of a toroid with a rectangular cross-section, inner radius r 1 , outer radius r 2 , height h, and N total turns of wire, each carrying a current I. (b) Calculate the total energy stored in the toroid by integrating the energy density. I o R L v d r d t = a b I

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A series RLC circuit has a resistance R = 3 kΩ, L=5mH, and C=1000pF.
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Unformatted text preview: A sinusoidal AC oscillator I=I max sin(ωt) is used. It produces a maximum voltage drop across the inductor of 10V every 25 μs. (a) What is the impedance and phase angle of the circuit? (b) What is the maximum current across the capacitor? (c) What is the maximum voltage across the capacitor and the earliest time at which it is attained? (d) What is the voltage across the resistor and inductor at t=10μs? (e) What is the RMS voltage of the oscillator? What is the voltage output at t=0? (f) If we want to replace the oscillator with a new one such that the maximum power is dissipated across the resistor, what should the new frequency be? An AC generator supplies 120 V at 60 Hz. When S is open, current leads the emf by 20°. When S is in position 1, current lags the emf by 30°. When S is in position 2, I rms = 2 A. Find L, R, and C. ~ L C C R S 1 2...
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Physics 7B Smoot Review F06 - A sinusoidal AC oscillator...

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