Physics - EMI/AC Question with Solution | TestHub

$\overrightarrow{F}=i\int \overrightarrow{dl}\times \overrightarrow{B}$

$\Rightarrow \mathit{\text{F}}=\mathit{\text{i}}l\mathit{\text{B}}$

$i=\frac{e_{in}}{(R+r)}$

When conducting rod moves in crossed magnetic field constant velocity $v$, emf is induced $=Bvl$

 $\Rightarrow i=\frac{Bvl}{R+r}$

$\therefore F$ $=\frac{vBl}{\left(R+r\right)}lB$

$=\frac{v{B}^2{l}^2}{\left(R+r\right)}$