A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists…
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time $t=0$ with a constant velocity. If the induced EMF is $\mathrm{E} \propto \mathrm{t}^{\mathrm{n}}$, then value of n is _.
Solution
As the bar moves without change in orientation, the length of bar will be proportional to its distance from the vertex. i.e. $I=c(v t)$ $\begin{aligned} & \text { induced emf } E=B / v \\
& =c B v^2 t \end{aligned}$ $\Rightarrow n=1$
