In a series LCR circuit, C =2 F , L =1 mH and R =10 . The ratio of the energies stored in the inductor and the capacitor, when the maximum current flows in the circuit, is

Step-by-step solution

In resonance condition (current is maximum), X _ c = X _ L The ratio of energies in the inductor and capacitor is: aligned & U _ L U _ C = LI ^2 CV ^2 = L CR ^2 ( I V = 1 R ) & U _ L U _ C = 10⁻³ 2 10⁻⁶ 10^2 & U _ L U _ C = 5 1 aligned