Question 169: Electromagnetic Induction

Question

A metallic cube of side $$15 \mathrm{~cm}$$ moving along $$y$$-axis at a uniform velocity of $$2 \mathrm{~ms}^{-1}$$. In a region of uniform magnetic field of magnitude $$0.5 \mathrm{~T}$$ directed along $$z$$-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be _________ mV.

Accepted Answer

$$
\begin{aligned}
& q E=e V B \\
& E=V B
\end{aligned}
$$
$$
\begin{aligned}
\Delta V & =(E . d) \\
& =(V B) 	imes 0.15 \\
& =2 	imes \frac{1}{2} 	imes 0.15 \mathrm{~V} \\
& =0.15 \mathrm{~V}=150 \mathrm{mV}
\end{aligned}
$$

Electromagnetic Induction

Choose the correct answer: