Question

In given circuit $V_{AB}$ or $V_A-V_B$ at t = 2 sec is

• A. 12 V
• B. 8 V
• C. 6 V
• D. 10 V

Answer 1

The correct option is A 12 V


$i=10-2t$
At t = 2, the potential difference across the inductor is,
$V_L=L\frac{di}{dt}=-2\times 2=-4V$
The potential drop across the battery is 10 V.
$i=6A$, at t = 2.
The potential drop across the resistor is $iR=6\times 1=6V$
$V_{AB}=-4+10+6=12V$