A. If a 3.2 millifarad capacitor with an initial charge of 0.248 Coulombs is pla

Question

A. If a 3.2 millifarad capacitor with an initial charge of 0.248 Coulombs is placed into a circuit with a 500. ohm resistor, what will be the charge remaining on the capacitor after 2.5 seconds? (there is no power supply in this circuit)

B. A generator consists of one thousand loops of wire, each enclosing an area 90.cm^2, rotating 50. times per second in a uniform field of 0.15T. Write the EQUATION of the instantaneous voltage output as a function of time. Determine the value of effectvie output voltage (Erms)

C. Two long parallel wires carry currents of 20. A and 5.0 A in opposite directions. The wires are separated by 20. cm. What is the magnetic field midway between the two wires?

Please show all work, equations, and/or diagrams to get full points

Explanation / Answer

apply the dischargeng eqn for charge in RC ckt as Q = Qoe^-t/RC

so Q = -.248 * e^(-2.5/(500*0.0032)

Q = 0.0519 C

b. induced emf e = NABW

emf e = 1000 * 90 *10^-4 * 0.15 * 50 * 2pi

e = 423.9 Volts

c. Bnet at centre = u0i/2piR + u0i/2piR

Bnet = u0i/piR

Bnet = 4pi*10^-7 (20+5)/3.14* 0.1)

Bnet = 1*10^-4 T

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