Answer:
Fig. 4(EP).12 shows a
conducting wire XY of mass m and negligible resistance sliding smoothly over
two parallel conducting wires AB and CD. The magnetic field applied is
(i) At time
t, suppose XY is at = (t)
Magnetic
flux associated with area ACYX
emf
induced,
current
induced,
Force
on-XY,
or
......
using (i)
Acceleration of wire ;
??..(ii)
(ii)
When B is independent of time, it is constant w.r.t. time. Therefore, .
From
(ii),
or
.
At
t = 0,
??..(iii)
(iii) Now, using (iii),
Power
lost =
= decrease
in KE of wire XY, which was to be proved.
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