In an oscillating LC circuit the maximum charge on the capacitor is Q. The charges on the capacitor when the energy is stored equally between the electric and magnetic field is

Options

A. `Q/2`
B. `Q/(sqrt(3))`
C. `Q/(sqrt(2))`
D. `Q`

Answer

C

Explanation

Let Q denote maximum charge on the capacitor.
Let q denote charge when energy is equally shared
`:.1/2(1/2(Q^(2))/C)=1/1(q^(2))/CimpliesQ^(2)=2q^(2)`
`:.q=Q/(sqrt(2))`