Question 154: Electromagnetic Induction

Question

Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{\sqrt{2}}$ Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of $10 \mathrm{~cm} / \mathrm{s}$, induced emf between points A and E is ________ mV .

Accepted Answer

As field is uniform we can replace the bent wire with straight wire from A to B.
So EMF :
$$\begin{aligned}
& \varepsilon=\operatorname{Bv} \ell_{\mathrm{AB}} \
& =\frac{1}{\sqrt{2}} 	imes \frac{10 \mathrm{~cm}}{5} 	imes 2\left(10 \sin 45^{\circ}ight) \mathrm{cm} \
& \varepsilon=10 \mathrm{mV}
\end{aligned}$$

Electromagnetic Induction

Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of \frac{1}{\sqrt{2}} Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of 10 \mathrm{~cm} / \mathrm{s}, induced emf between points A and E is ________ mV .

Choose the correct answer: