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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

Consider the cylindrical region shown in the figure, where the magnetic field increases at a constant rate of 20.0 mT/s . Each side of the square loops abcd and defa is 1.00 cm long and has a resistance of 4.00 . Calculate the magnitude of the current in the wire ad assuming both switches S₁ and S₂ are open.

Options

  1. A5.00 10⁻⁷ A
  2. BZero
  3. C1.25 10⁻⁷ A
  4. D2.50 10⁻⁷ A

Correct answer

B. Zero

Step-by-step solution

When both switches S₁ and S₂ are open, the outer branches ef and bc act as open circuits. For an induced current to flow, there must be a closed conducting loop. With both S₁ and S₂ open, the remaining wires ( ed , dc , ab , fa , and the central wire ad ) do not form any closed loop. Since there is no closed path available for the charges to circulate, no induced current can flow in any part of the circuit, regardless of the changing magnetic flux. Therefore, the current in the wire ad is zero.

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