Question

Statement 1 : An emf $\in ={\in }_{0}sin(\omega t+\frac{\pi }{6})$ is applied in a circuit and a current of $i=i_{0}sin(\omega t-\frac{\pi }{3})$ flows. Then the average power delivered by the source is zero.
Statement 2 : If the average value of $\in$ and $i$ is separately zero, then the power consumed will be zero.

• A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
• B. Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1
• C. Statement-1 is True, Statement-2 is False
• D. Statement-1 is False, Statement-2 is True.

Answer 1

The correct option is C Statement-1 is True, Statement-2 is False

Statement I is true as phase difference between the emf and current is 90, hence the power is zero.
Statement II is false as the power depends on the angle of phase difference between the current and the emf.