A metal rod PQ of length I slides on two parallel rails AB and CD, each rail having a resistance k per unit length. The rod and the rails are in a region of a uniform magnetic field B directed into the plane of the paper as shown in Fig. 25.19. A resistance R is connected between the rails. A A variable force F is applied to PQ so that it is accelerated to the right. Obtain the expression for the velocity v of rod PQ when it is at a distance x from R. D сх X P Fig. 25.19 хх

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A metal rod PQ of length I slides on two parallel rails
AB and CD, each rail having a resistance k per unit
length. The rod and the rails are in a region of a uniform
magnetic field B directed into the plane of the paper
as shown in Fig. 25.19. A resistance R is connected
between the rails.
A variable force F
is applied to PQ so
that it is accelerated
A
-B
R
to the right. Obtain
the expression for
the velocity v of rod
PQ when it is at a
distance x from R.
D
C X
X P
ーメ→
Fig. 25.19
Transcribed Image Text:A metal rod PQ of length I slides on two parallel rails AB and CD, each rail having a resistance k per unit length. The rod and the rails are in a region of a uniform magnetic field B directed into the plane of the paper as shown in Fig. 25.19. A resistance R is connected between the rails. A variable force F is applied to PQ so that it is accelerated A -B R to the right. Obtain the expression for the velocity v of rod PQ when it is at a distance x from R. D C X X P ーメ→ Fig. 25.19
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