An inductor is connected in series with a resistor of resistance 1000 `Omega` and a capacitor of capacitance 2 `mu`F. Potential difference of 100 V exists across the resistor . Angular frequency of source is 200 rad/s, and the same is equal to resonant frequency of the circuit find the rms voltage across inductor .

Explanation

To find the RMS voltage across the inductor in the given series LCR circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Values:**
- Resistance \( R = 1000 \, \Omega \)
- Capacitance \( C = 2 \, \mu F = 2 \times 10^{-6} \, F \)
- Potential difference across the resistor \( V_R = 100 \, V \)
...