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Question

In an oscillating LC 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:

A
Q2
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B
Q2
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C
Q3
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D
Q3
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Solution

The correct option is B Q2
Total energy stored=12Q2C
At any time electrostatic energy is equal to magnetic energy.
12Q2C=12q2C+12LI2...............(1)
Since q22C=LI22
Equation (1) becomes,
12Q2C=q2C
q=Q2
Where q is the charge on capacitor at this instant.

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