Q: Two different coils have self inductance L_{1} = 8 mH and L_{2} = 2 mH. The current in both are increasing at the same constant rate. At a certain instant of time, the power given to the two coils is the same. At this moment the current, the induced voltage and energy stored in the first coil are i_{1} , V_{1} and U_{1} respectively. The corresponding values in the second coils are i_{2}, V_{2} and U_{2} respectively. Then the values of i_{1}/i_{2} , V_{1}/V_{2} and U_{1}/U_{2} are respectively

Sol: $\large \frac{i_1}{i_2} = \frac{L_2}{L_1} = \frac{2}{8} = \frac{1}{4}$

$\large \frac{V_1}{V_2} = \frac{L_1}{L_2} = \frac{8}{2} = 4$