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The current through a circuit is given b...

The current through a circuit is given by `I=I_0sin(omegat+pi//6)` when the supplied emf is `V=V_0sinomegat`Find the power dissipated in the circuit in one complete cycle. Draw the phasor diagram for the given current and voltage. What are the possible two elements in the circuit?

Text Solution

Verified by Experts

Here, the current leads the voltage by a phase angle, `theta=pi/6`
So, the power dissipated in one complete cycle.
`P=V_(rms)I_(rms)costheta=V_0/sqrt2.I_0/sqrt2.cos ""pi/6`
`=1/2V_0I_0.sqrt3/2=sqrt3/4V_0I_0`
The fig.2.34 shows the phase relation for the given current and voltage.
If the circuit contains two elements only, then these are a pure resistor R and a capacitor C, because the current leads the voltage in a CR circuit.
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