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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

A rectangular wire frame abcd has dimensions 32 cm 8.0 cm and a total resistance of 2.0 . By applying a force of 3.2 10⁻⁵ N , it is pulled out of a magnetic field B = 0.020 T as shown in the figure. It is observed that the frame travels with a constant speed. Determine the potential difference between the points c and d .

Options

  1. A4.0 10⁻³ V
  2. B4.0 10⁻² V
  3. C8.0 10⁻³ V
  4. D3.6 10⁻² V

Correct answer

A. 4.0 10⁻³ V

Step-by-step solution

When the rectangular wire frame is pulled out of the magnetic field with a constant speed, the applied force F is balanced by the magnetic force F_m acting on the side ab (since side cd is outside the magnetic field). The magnetic force is given by: F_m = I l B Since the frame moves with a constant speed, F = F_m . We can find the induced current I in the loop: I = F l B From the given figure, the length of the side ab is l = 8.0 cm = 0.08 m . Substituting the given values: I = 3.2 10⁻⁵ 0.08 0.020 = 3.2 10⁻⁵ 1.6 10

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