A conducting wire

Given: - mass of the wire m

magnetic field applied in

(i). At time t let XY be at x =x(t), magnetic flux association with area ACYX

induced EMF e =

(apply product rule)

∴

induced current

Force on XY is F = Bil

∴

∴ acceleration of the wire is

(ii) when B is independent of time t is constant w.r.t time t

∴

hence

but

integration on both side

⇒

∴

when t= 0,

∴

(iii)

=

power lost =

=

=

= decreases in kinetic energy