A regenerative braking system in an electric vehicle charges a 0.050 μF capacitor to a maximum voltage of 30 kV.
i. Determine the energy stored in the capacitor when it is fully charged.
ii. During braking, the motor is powered by 20% of the stored energy for 5.0 μs. Calculate the power output of the motor during this time.

$\(\begin{array}{l}\[\text{i. 21 J}\)\\ \(\text{ii. }\) 9.0 \(\times\) 10^{5} \(\mathrm{~W}\]\end{array}\)$

$\(\begin{array}{l}\[\text{i. 21 J}\)\\ \(\text{ii. }\) 1.0 \(\times\) 10^{6} \(\mathrm{~W}\]\end{array}\)$

$\(\begin{array}{l}\[\text{i. 23 J}\)\\ \(\text{ii. }\) 9.0 \(\times\) 10^{5} \(\mathrm{~W}\]\end{array}\)$

$\(\begin{array}{l}\[\text{i. 23 J}\)\\ \(\text{ii. }\) 8.0 \(\times\) 10^{5} \(\mathrm{~W}\]\end{array}\)$