Question

A square closed loop of area A, lying in the horizontal plane, is moving horizontally with velocity \( v \) in a uniform vertical magnetic field \( B \). Which one of the following statements is FALSE?

• A. There is current in the loop even though there is no battery (or any other voltage source)
• B. The work done in moving the coil is being converted to the current in the coil
• C. The current is being generated because the magnetic field is doing the work.
• D. The emf generated is proportional to the velocity of the coil
• E. The emf generated is proportional to the magnetic field strength
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Hint:

In problems involving moving loops in a magnetic field, use Faraday’s Law to calculate induced emf and understand the role of motion, not the magnetic field alone.

Answer 1

The Correct Option is C

As the loop moves through the magnetic field, the changing magnetic flux through the loop induces an emf according to Faraday's Law. The work done in moving the coil is converted into electrical energy, but it is not the magnetic field doing the work. The current is generated due to the movement of the coil in the magnetic field. Thus, option (c) is false.