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Figure shows a conducting rod of negligi...

Figure shows a conducting rod of negligible resistance that can slide on smooth `U`-shaped rail made of wire of resistance `1Omega//m`.Position of the conducting rod at `t=0` is shown.A time `t` dependent magnetic field `B=2t` Tesla is switched on at `t=0`.
Following situation of the previous question, the magnitude of the force required to move the conducting rod at constant speed `5cm//s` at the same instant `t=2s`, is equal to

A

`0.16 N`

B

`0.12 N`

C

`0.08 N`

D

`0.06 N`

Text Solution

Verified by Experts

The correct Answer is:
C
At `t=2s`length of the wire `=(2xx30 cm)+20 cm =0.8 m`
Resistance of the wire =`0.8 Omega`
Current through the rod =`0.08/0.8=1/10A`
Force on the wire =`i_|_B=1/10xx(0.2)xx4=0.08 N`
Same force is applied on the rod in opposite direction to make net force zero.
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