Question 142: Electromagnetic Induction

Question

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 E ∝ t
n
, then value of n is _________.

Accepted Answer

$$\mathrm{E}=\ell \mathrm{vB}$$
$E=\frac{2 x}{\sqrt{3}} 	imes v B$ and $x=v t$
$$\mathrm{E}=\frac{2}{\sqrt{3}} \mathrm{v}^2 \mathrm{Bt}$$
$E \propto t^1$

Electromagnetic Induction

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 E ∝ t n , then value of n is _________.

Integer / Numeric Answer Type