Question

If a coil is moved from a magnetic field slowly and rapidly then in which case more work will be done

Answer 1

Rapidly,
Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced.
​when we pull the coil fast,due to change in flux the emf induced will be more,so it oppose the motion.then we need to givemore work to pull.when we pull slowly the the flux change is less,the less emf and less work.

work done = Pxt where t is time and P is power
but P={Blv}2/r
where P is the power
B is the mag fld
​l is the length
v is velocity in which the coil is moving
and r is the resistance of coil
so P is directly prportional to v
therefore more work done in case of rapidly


I hope you'll understand!