A variable frequency 230 V alternating voltage source is connected across a series combination of `L = 5.0 H, C = 80 mu F` and `R = 40 Omega`
(i) Calculate the angular frequency fo the source which drives the circuit in resonance.
(ii) Obtain r.m.s. the impedance of the circuit and amplitude of current at resonance frequency
(iii) Obtain r.m.s. potential drop across the three elements of the circuit at resonating frequency.
(iv) How do you explain the observation that the algerbraic sum of voltages across the three elements obtained is greater than the supplied voltage.

Explanation

To solve the given problem step by step, we will address each part of the question sequentially.

### Given Data:
- Inductance, \( L = 5.0 \, \text{H} \)
- Capacitance, \( C = 80 \, \mu\text{F} = 80 \times 10^{-6} \, \text{F} \)
- Resistance, \( R = 40 \, \Omega \)
- Voltage, \( V = 230 \, \text{V} \)

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