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Question

Consider the situation given in the figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, the magnitude of the induced current will


A

decrease

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B

increases

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C

increase or decrease depending on whether the semicircle bulges towards the resistance or away from it

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D

remain same

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Solution

The correct option is D

remain same


The explanation for the correct option:

In the case of option D,

  1. The current is created in a wire when the magnetic field changes are called induced current.
  2. The current created in a generator typically requires quickly rotating a wire coil together in a magnetic field, which would be an instance of induced current.
  3. The induced emf is written as e=lV×B. Here I is current, V is voltage and B is magnetic field.
  4. It can also be written as e=IVBsinθ.
  5. The induced current can written as I=eR.
  6. If the straight wire is replaced by a semicircular wire, resistance R remains unchanged. Hence, currently remains the same.

Hence, Option(D) is correct.


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