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physics

The alternating voltage and current in an electric circuit are respectively given by . The reactance of the circuit will be :

A

B

C

D

Zero

Answer

Correct option is
C

The general equations of alternating voltage and current in an AC circuit are as follows
             ....(i)
             ....(ii)
Given that,
             ....(iii)
                 ....(iv)
Comparing equations (ii) and (iv), we get,
Peak value of current,
Comparing equations (i) and (iii), we get
Peak value of voltage,
Now, r.m.s. value of voltage is given by
Similarly, r.m.s. value of current is given by
Hence, reactance of the circuit is given by

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