23 and 25

​Q23. A condenser of capacity C is charged to a potential difference of V₁. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductors when the potential difference access the condenser reduces to V₂ is ?

    $\left(1\right) \frac{\mathrm{C}\left({\mathrm{V}}_1^2-{\mathrm{V}}_2^2\right)}{\mathrm{L}} \left(2\right) \frac{\mathrm{C}\left({\mathrm{V}}_1^2+{\mathrm{V}}_2^2\right)}{\mathrm{L}} \left(3\right) \left(\frac{\mathrm{C}{\left({\mathrm{V}}_1^2-{\mathrm{V}}_2^2\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}{\mathrm{L}}\right) \left(4\right) {\left(\frac{\mathrm{C}{\left({\mathrm{V}}_1^{}-{\mathrm{V}}_2^{}\right)}^2}{\mathrm{L}}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$


Q25. In an ac circuit an alternating voltage e = 200 $\sqrt{2}$ sin 100 t volts is connected to a capacitor of capacity 1$\mathrm{\mu }$F. The r.m.s. value of the current in the circuit is :-

    (1) 10 mA                      (2) 100 mA                    (3) 200 mA                (4) 20 m A