A circuit containing an 80 mH inductor and a `250 mu F` capacitor in series is connected to 240 V, `100 rad//s` supply. The resistance of the circuit is negligible. (i) Obtain rms value of current. (ii) What is the total average power consumed in the circuit ?

Explanation

To solve the problem step by step, we will first calculate the RMS value of the current and then determine the total average power consumed in the circuit.

### Given Data:
- Inductance, \( L = 80 \, \text{mH} = 80 \times 10^{-3} \, \text{H} \)
- Capacitance, \( C = 250 \, \mu\text{F} = 250 \times 10^{-6} \, \text{F} \)
- RMS Voltage, \( V_{\text{RMS}} = 240 \, \text{V} \)
- Angular frequency, \( \omega = 100 \, \text{rad/s} \)
- Resistance, \( R = 0 \, \Omega \)
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