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In an LC oscillating circuit, the maximum charge on capacitor is Q0. The current in the circuit at an instant when energy stored in inductor is equal to that in capacitor, is

manoj rao , 4 Years ago
Grade 12
anser 1 Answers
Harshit Singh

Last Activity: 4 Years ago

Dear Student
Total energy
U= 1/2(Q^2​/C)
Let at any instant the charge on capacitor beQ’
∴Electrical energy = Magnetic energy= ((Q’)^2​)/2C
So, new total energy=((Q’)^2​)/2C +((Q’)^2​)/2C =Q′^2​/C
According to question
1/2(Q^2​/C)=Q′^2​/C
Q′= Q/​√2
Magnetic energy= ((Q’)^2​)/2C= Q^2/4C
(1/2)L(I^2) =Q^2/4C

I = Q / √(2LC)


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