Question

Given below are two statements labelled as Assertion (A) and Reason (R).

Assertion (A) : In purely capacitive AC circuit, average power consumed is zero.

Reason (R) : The phase difference between the current and voltage in case of a purely capacitive circuit is ${90}^{\circ }$.

Select the most appropriate answer from the options given below.

​​​​​​​$[$0.77 Mark$]$

• A. Both A and R are true, and R is the correct explanation of A.
• B. Both A and R are true, but R is not the correct explanation of A.
• C. A is true, but R is false.
• D. A is false and R is also false.

Answer 1

The correct option is A Both A and R are true, and R is the correct explanation of A.

Average power consumed in an AC circuit is given by,

$P_{av}=V_{rms}{I}_{rms}\cos \varphi$

$\varphi =$ phase difference between voltage and current

For purely capacitive circuit,

$\varphi ={90}^{\circ }\Rightarrow P_{av}=0$.