An LC circuit has an inductance L=5.0x10^-2 H and a capacitance C=5.0 x 10^-6 F.

Question

An LC circuit has an inductance L=5.0x10^-2 H and a capacitance C=5.0 x 10^-6 F. At time t=0, the capacitor is fully charged so that Q=1.2 x 10^-4 C. A.) what is the maximum instantaneous value of the current? B.) what is the maximum instantaneous voltage across the inductor? C.) across the capcitor?
An LC circuit has an inductance L=5.0x10^-2 H and a capacitance C=5.0 x 10^-6 F. At time t=0, the capacitor is fully charged so that Q=1.2 x 10^-4 C. A.) what is the maximum instantaneous value of the current? B.) what is the maximum instantaneous voltage across the inductor? C.) across the capcitor?
An LC circuit has an inductance L=5.0x10^-2 H and a capacitance C=5.0 x 10^-6 F. At time t=0, the capacitor is fully charged so that Q=1.2 x 10^-4 C. A.) what is the maximum instantaneous value of the current? B.) what is the maximum instantaneous voltage across the inductor? C.) across the capcitor?

Explanation / Answer

A)

here , let the maximum current be I

then ,

0.5Q^2/C = 0.5 * L*i^2

(1.2*10^-4)^2/(5 *10^-6) = (0.05) I^2

solving for I

I = 0.24 A

the maximum current is 0.24 A

B)

Here , as 0.5 CV^2 = E

0.5 * 5 *10^-6 * V^2 = 0.5 * 0.05 * 0.24^2

V = 24 V

the maximum valtage across the inductor is 24 V

C)

the maximum voltage across capacitor is 24 V

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