In an oscillating LC circuit the maximum charge on the capacitor is Q. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor (q) is

Step-by-step solution

Total energy of the LC circuit is given by the maximum energy stored in the capacitor: U_ total = Q^2 2C When the energy is stored equally between the electric and magnetic fields, the energy in the capacitor is half of the total energy: U_E = U_ total 2 Let the charge on the capacitor at this instant be q . The energy stored in the capacitor is: q^2 2C = 1 2 ( Q^2 2C ) q^2 = Q^2 2 q = Q 2