A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the voltage developed across the cut if the velocity of the loop is `1 cm " "s^(-1)` in a direction normal to the :
(ii) shorter side of the loop ? For how long does the induced voltage last ?

Explanation

Given : `l=8xx10^(-2)m, b=8 xx10^(-2)m ,B=0.3 T,nu=10^(-2)ms^(-1)`
Let .e. be induced emf developed across the cut in the loop.
`e_2 =Blnu =0.3 xx2xx10^(-2)xx10^(-2)V`
`=6.0xx10^(-5)V`.
The induced emf will last for the during which the length of the loop moves out of the field.
Hence, `t_2=l/(nu)= (8xx10^(-2))/(10^(-2))=8S`.