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Question

Physics Question on Electromagnetic induction

In an oscillating L-C circuit the maximum charge on the capacitor is The charge on the capacitor when the energy is stored equally between the electric and magnetic field is :

A

Q2\frac{Q}{2}

B

Q2\frac{Q}{\sqrt2}

C

Q3\frac{Q}{\sqrt3}

D

Q3\frac{Q}{3}

Answer

Q2\frac{Q}{\sqrt2}

Explanation

Solution

Ue=Umax2U_e = \frac{U_{max}}{2} \therefore q22C=Q24C\frac{q^2}{2C} = \frac{Q^2}{4C} q=Q2\therefore \, q = \frac{Q}{\sqrt{2}}