Capacitors in series combination – Rankers Physics

Combination of Capacitors: Practice Problem & Solution

Two identical capacitors each of capacitance \(C\) and breakdown voltage \(V\) are connected in series. The respective values of capacitance and the breakdown voltage of the combination will be
\(C, V\)
\(\frac{C}{2}, 2V\)
\(C, 2V\)
\(2C, 2V\)

Solution Explained:

To solve this problem, we apply the core principles of Combination of Capacitors. Understanding the underlying formula is key to arriving at the correct answer below:

In series, the equivalent capacitance is \(C_{text{eq}} = \frac{C}{2}\). Since the voltage is shared equally between the two identical capacitors, the maximum safe voltage across the combination is \(2V\).

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