A RLC series circuit with resistance of 250 ohm, a inductance of 85 mH (milli-henry) and a capacitance of 55 nF (nano-farad) is supplied with 400 V at variable frequency.
(a) Find the following (i) the resonance frequency, (ii) the current and the power at resonance, (iii) the voltage across R, L, C at that time, (iv) the quality factor of the circuit, (v) the half-power or cut-off frequencies, (vi) the bandwidth.
(b) Calculate: (i) the frequency at which the voltage across the inductance is maximum and the maximum voltage across L, (ii) the frequency at which the voltage across the capacitance is maximum and the maximum voltage across C.
[Hint: With proper calculation, not just result]