An emf is generated by an ac generator having 100 turn coil, of loop area $1 \mathrm{~m}^2$. The coil…
An emf is generated by an ac generator having 100 turn coil, of loop area $1 \mathrm{~m}^2$. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of $0.05 \mathrm{~T}$ perpendicular to the axis of rotation of the coil. The maximum value of emf is
$62.8 \mathrm{~V}$
$6.28 \mathrm{~V}$
$3.14 \mathrm{~V}$
$31.4 \mathrm{~V}$
Solution
Maximum value of emf generated by an ac generator is given by
$\begin{aligned} \varepsilon_0 & =\mathrm{NBA} \omega \\ & =100 \times 0.05 \times 1 \times 2 \pi \\ & =31.415 \mathrm{~V} \\ & \approx 31.4 \mathrm{~V}\end{aligned}$