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Phasor Diagrams in AC Circuits

in LC circuit...

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in LC circuit ,find time when energy store is completely electrical

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Q. A LC-circuit contains a

20 m H

50 μ F

capacitor with an initial charge of

10 m C

. The resistance of the circuit is negligible. Let the instant the circuit is closed be

t = 0

(a) What is the total energy stored initially. Is it conserved during the LC-oscillations?
(b) What is the natural frequency of the circuit?
(c) At what times is the energy stored?
(i) completely electrical (ie., stored in the capacitor)?
(ii) completely magnetic (i.e., stored in the inductor)?
(d) At what time is the total energy shared equally between the inductor and the capacitor

Q. An LC circuit contains a 20 mH inductor and a 50 μF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible.Let the instant the circuit is closed be t = 0. (a) What is the total energy stored initially? Is it conserved during LC oscillations? (b) What is the natural frequency of the circuit? (c) At what time is the energy stored (i) completely electrical (i.e., stored in the capacitor)? (ii) completely magnetic (i.e., stored in the inductor)? (d) At what times is the total energy shared equally between the inductor and the capacitor? (e) If a resistor is inserted in the circuit, how much energy is eventually dissipated as heat?

Q. An LC circuit contains a 20 mH inductor and a 50

μ

F capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t = 0.(a) What is the total energy stored initially? Is it conserved during LC oscillations?

(b) What is the natural frequency of the
circuit?

(c) At what time is the energy stored

(i) completely electrical (i.e., stored in the capacitor)?

(ii) completely magnetic (i.e. stored in the inductor)?

(d) At what times is the total energy shared
equally between the inductor and the capacitor?

(e) If a resistor is inserted in the circuit,

how much energy is eventually dissipated as heat?

Q. An LC circuit contains a 40 mH inductor and a 25

μ

F capacitor. The resistance of the circuit is negligible. The time is measured from the instant the circuit is closed. The energy stored in the circuit is completely magnetic at times (in milliseconds)

Q. In an oscillating

L C

circuit the maximum charge on the capacitor is

Q

. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is

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