Question

Assertion : Current flowing in the circuit is $i=2t-8$.

At $t=1\text{s}$, $V_a-V_b=+4\text{V}$

Reason : $V_a-V_b$ is $+4\text{V}$ all the time.

For the above two statements, the correct alternative is -

• A. Both assertion and reason are true, and the reason is the correct explanation of assertion
• B. Both assertion and reason are true, and the reason is not the correct explanation of assertion
• C. The assertion is true, but the reason is false
• D. The assertion is false, but the reason is true

Answer 1

The correct option is B Both assertion and reason are true, and the reason is not the correct explanation of assertion


Given :

$i=2t-8$

$\Rightarrow \frac{di}{dt}=2\text{A/s}\left(\text{independent of time}\right)$

Now, from KVL,

$V_a-2\times 2=V_b$

$\Rightarrow V_a-V_b=+4\text{V}\left(\text{always}\right)$