Question

Assertion :At some given instant $I_1$ and $I_2$ both are $2A$ each. Then $I$ at this instant should be zero. Reason: There is a phase difference of $\pi$ between $I_1$ and $I_2$ functions.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

since $I_{1}and{I}_2$ are both of 2A and going through capacior and inductor in parallel,
let the voltage across them be
$V=V_{o}Sin\left(\omega t\right)$
current in inductor $i=i_{o}sin(\omega t-\frac{\pi }{2})$
current in capacitor $i=i_{o}sin(\omega t+\frac{\pi }{2})$
clearly there is phase difference of $\pi$ in both wires with same megnitude therefore the total current is zero.