(a) In an oscillating LC circuit, 75% of the total energy is stored in the magne
ID: 2215998 • Letter: #
Question
(a) In an oscillating LC circuit, 75% of the total energy is stored in the magnetic field of the inductor at a certain instant. In terms of Q max, the maximum charge in the capacitor, what is the charge Q on the capacitor at this instant? (b) An 8.0 mH inductor and a 2.0 Ohm resistor are wired in series to a 20-V ideal battery. A switch in the circuit is closed at time 0, at which time the current is zero. After a long time what is the current in the resistor and the current in the inductor. (c) A capacitor in an LC oscillator has a maximum potential difference of 15 V and a maximum energy of 360 microJoules. At a certain instant the energy in the capacitor is 40 microjoules. At that instant what is the potential differences across the capacitor?Explanation / Answer
a)Q=Qmax/2 b)after long time inductor will act as short circuit. so current in inductor=current in resistor=20/2=10 A c) energy is directly proportional to square of voltage difference across capacitor so 360/15^2=40/v^2 v=5 volts
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