Q.

In a series circuit, C=2 μF, L=1 mH  and  R=10 Ω.  When the current in the circuit is maximum, at that time the ratio of the energies stored in the capacitor and the inductor will be

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a

1 : 1

b

1 : 2

c

2 : 1

d

1 : 5

answer is D.

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Detailed Solution

Current will be maximum in the condition of resonance, so imax=ER=E10 AEnergy stored in the coil, WL=12Limax2=12LE102=12 × 10−3E2100=12 × 10−5 E2  joule Energy stored in the capacitor,WC=12 CE2=12 × 2 × 10−6 E2=10−6E2  joule ∴   WCWL=15
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