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MHT CET Medical202624 April 2026Morning ShiftPhysicsMagnetic Effects of CurrentActual

If the current 'i' is passing through the wire, it has a shape as shown in the figure. The radius of the curved part is R and the linear part is assumed to be very long. The magnetic induction of the field at the point O, is ( ₀= permeability of free space)

Options

  1. A₀ i 2 R (2+ 2 )
  2. B₀ i 4 R (2+ )
  3. C₀ i 2 R (1+ 3 2 )
  4. D₀ i R (1+ 2 )

Correct answer

B. ₀ i 4 R (2+ )

Step-by-step solution

The wire can be divided into three parts: a lower semi-infinite straight wire, a semicircular arc, and an upper semi-infinite straight wire. The magnetic field at point O due to the lower semi-infinite straight wire is given by B₁ = ₀ i 4 R . Applying the right-hand rule, the current is towards the left and point O is above the wire, so the magnetic field is directed into the page. The magnetic field at point O due to the semicircular arc is given by B₂ = ₀ i 4R = ₀ i 4 R . The current is in the clockwise direction

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