Alternating Current: Practice Problem & Solution

Solution Explained:

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

Capacitive reactance is $X = \frac{1}{2\pi f C}$. When capacitance becomes $2C$ and frequency becomes $2f$, the new reactance is $X' = \frac{1}{2\pi(2f)(2C)} = \frac{1}{4(2\pi f C)} = \frac{X}{4}$.