A and B are two identical rods of internal resistance r=1Ω. If R=2Ω,VA=4m/s,VB=3m/s, length of rods is 1 m, then current in R is (Magnetic field is 2T)
A
1A
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B
0.4A
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C
0.6A
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D
0.8A
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Solution
The correct option is B0.4A The voltage in induced in the left rod is BVL=2×4×1=8V. The bottom part of the rod is at higher potential.
The voltage in induced in the rightside rod is BVL=2×3×1=6V. The top part of the rod is at higher potential.
By K.V.L, 8=i+2i1 ...(1) 6=(1−i1)−2i1 ⇒6=i−3i1 ...(2) By (1) & (2) i1=0.4A