A square- shaped copper coil has edges of length 50cm and contains 50 turns. It is placed perpendicular to 1.0 T magnetic field. It is removed form the magnetic field in 0.25 s and restored in its joriginal place in the next 0.25 s. Find the magnitude of the average emf induced in the loop during (a) its removal, (b) its restoration and (c) its motion.

Explanation

No. of turns = 50 area of square = 0.25 `m^(2)`
Magnit of magnetic field = 1 T
(a) Average rate of complete removal `= Deltas //Deltat =1 m//s^(2)`
`:.` average induced emf =` NB"" (DeltaS)/(Deltat)` = 50 volt
(b) Average rate of complete restoration =` Delta s//Delta t=1 m//s^(2)`
`:.` average induced emf = `NB(DeltaS)/(Deltat) = 50` volt
(c ) For entire motion in the field `Delta S= 0`
`:.` average induced emf `= NB(DeltaS)/(Deltat)=` 0 volt