# Q7.18 (a) A circuit containing a  inductor and a   capacitor in series is connected to a ,   supply. The resistance of the circuit is negligible. Obtain the current amplitude and rms values.

The inductance of the inductor

The capacitance of the capacitor

Voltage supply

Frequency of voltage supply .

Here, we have

Impedance

Now,

Current in the circuit will be

where,

The negative sign is just a matter of the direction of current.so,

here

But, since the value of R is zero(since our circuit have only L and C)

Hence

Now,

RMS value of this current:

.

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