In an ideal LC circuit, if the energy stored in the inductor is equal to energy stored in a capacitor, then the magnitude of charge Q stored in capacitor is ( Q₀ is the maximum charge)

Step-by-step solution

Total energy in an ideal LC circuit is conserved and is equal to the maximum energy stored in the capacitor. E_ total = Q₀^2 2C At any instant, the total energy is the sum of the energy stored in the capacitor ( U_C ) and the inductor ( U_L ). E_ total = U_C + U_L Given that the energy stored in the inductor is equal to the energy stored in the capacitor ( U_L = U_C ): E_ total = 2U_C Substituting the expressions for energy: Q₀^2 2C = 2 ( Q^2 2C ) Q^2 = Q₀^2 2 Q = Q₀ 2 Answer: Q₀ 2