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There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of L = 10 c m . The rails are connected, at one of their ends to an ideal battery of EMF 0.5 V , as shown in the figure. The system is placed in a vertically downward and perpendicular magnetic field of magnetic induction B = 1 T . A metal rod of resistance R = 10 Ω is placed perpendicularly on the rails. The rod an

Options

  1. A2 × 10 – 3 N
  2. B4 × 10 – 3 N
  3. C8 × 10 – 3 N
  4. D5 × 10 – 3 N

Correct answer

B. 4 × 10 – 3 N

Step-by-step solution

ε i n = B ⋅ L ⋅ V = 1 × 10 × 10 – 2 × 1 ε i n = 0.1 V I = 0.5 - 0.1 10 = 0.04 F → = 1 × 0.04 × 1 0 – 2 × 10 = 0.4 × 10 – 2 | F → | = 4 × 1 0 – 3 N

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