A `2.0 mu F` capacitor and a `4.0 mu F`, capacitor are connected in parallel across in 300V potential difference (a) What is the total energy stored by them? (b) They are next connected in series across that potential difference. What is the ratio of the total energy stored by them in the parallel arrangement to that in the series arrangement?

Explanation

To solve the problem step by step, we will calculate the total energy stored in the capacitors when they are connected in parallel and then when they are connected in series. Finally, we will find the ratio of the energies stored in both arrangements.

### Step 1: Calculate Total Capacitance in Parallel
When capacitors are connected in parallel, the total capacitance (C_total) is the sum of the individual capacitances.

\[ C_{\text{total}} = C_1 + C_2 = 2.0 \, \mu F + 4.0 \, \mu F = 6.0 \, \mu F \]
...