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In an AC circuit the voltage applied is ...

In an `AC` circuit the voltage applied is `E = E_(0) sin omega t`. The resulting current in the circuit is `I = I_(0) sin (omega t - (pi)/(2))`. The power consumption in the circuit is given by

A

`P = (E_(0) I_(0))/(sqrt(2))`

B

`P =` zero

C

`P = (E_(0)I_(0))/(2)`

D

`P = sqrt(2) E_(0) I_(0)`

Text Solution

Verified by Experts

The correct Answer is:
2
For given circuit current is lagging the voltage by `pi//2` so circuit is purely inductive and there is no power consumption in the circuit. The work done by battery is stored as magnetic energy in the inductor.
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Knowledge Check

  • In an a.c. Circuit the voltage applied is E=E_(0) sin (omega)t . The resulting current in the circuit is I=I_(0)sin((omega)t-(pi/2)) . The power consumption in the circuit is given by

    A
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    B
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    C
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    D
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