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5. A 35.0-V battery with negligible internal resistance, a 50.0- resistor, and a

ID: 1488328 • Letter: 5

Question

5. A 35.0-V battery with negligible internal resistance, a 50.0- resistor, and a 1.25-mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. How long after closing the switch will the current through the inductor reach one-half of its maximum value?

7. The voltage across the terminals of an ac power supply varies with time according to V=V0cos(t). The voltage amplitude is V0 = 43.0V. What is the average voltage across the terminals?

8. You have a 204 resistor, a 0.405H inductor, a 4.96µF capacitor, and a variable-frequency ac source with an amplitude of 2.97 V. You connect all four elements together to form a series circuit. At resonant frequency, what will be the current amplitude?

12. A high-energy pulsed laser emits a 1.0-ns-long pulse of average power 2.4 1011 W. Determine the energy delivered in each pulse?

Explanation / Answer

I(t) = Io * (1 - e^(-Rt / L))

0.5 * Io = Io * (1 - e^(-Rt / L))

0.5 = (1 - e^(-50 * t / (1.25 * 10^-3)))

t = 0.0000173287 sec

after 0.0000173287 sec current through the inductor reach one half of its maximum value

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