A `15.0 mu F` capacitor is connected to a 220 V, 50 Hz source. Find the capacitative reactance and the current (rms and peak) in the circuit. If the frequency is doubled. What happens to the capactive reactance and current ?

Explanation

To solve the problem step by step, we will first calculate the capacitive reactance (XC) and then find the RMS and peak current in the circuit. Finally, we will analyze the effect of doubling the frequency on capacitive reactance and current.

### Step 1: Calculate the Capacitive Reactance (XC)

The formula for capacitive reactance is given by:

\[
X_C = \frac{1}{\omega C}
...