Question

A loop (circuit) is placed in uniform $\overrightarrow{B}$ and flux through the loop is given by $\varphi =4t$. Find the power supplied to the $6\text{V}$ battery.

• A. 6 Watt
• B. 2 Watt
• C. 3 Watt
• D. 5 Watt

Answer 1

The correct option is A 6 Watt

Emf induced, $E=\frac{d\varphi }{dt}=4\text{V}$.

Because the flux is increasing into the paper, the current will be in anticlockwise direction.

Hence, the total emf is $=8+4-6=6\text{V}$ in the anticlockwise direction.

So, $I=\frac{6}{4+2}=1\text{A}$.

Current is pumped into the battery, so power is supplied to the battery, and it is equal to,
Power $=VI=6\left(1\right)=6\text{W}$