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 is q. The relation between Q and 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 electric energy U_E is half of the total energy: U_E = 1 2 U_ total The electric energy at this instant is given by: U_E = q^2 2C Equating the expressions for U_E : q^2 2C = 1 2 ( Q^2 2C ) q^2 = Q^2 2 Q = 2 q Answer: Q = 2 , q