99 Percentile Qs Bank for JEE MainPhysicsMagnetic Effects of Current
The magnetic field at the centre ( C ) of the arrangement shown in figure is
Options
- A( ₀ i 2 r (1+ ) )
- B( ₀ i 4 r (1+ ) )
- C( ₀ i r (1+ ) )
- D( ₀ i r (1+ ) )
Correct answer
B. ( ₀ i 4 r (1+ ) )
Step-by-step solution
According to diagram in the question, magnetic field at the centre (C ) will be sum of the magnetic field due to straight part (B₁ ) and magnetic field due to circular part (B₂ ). ( ) From Maxwell's right hand thumb rule direction of both magnetic field at the point (C ) will be same and above the plane of paper. So, (B_C=B₁+B₂= ₀ i 4 r + ₀ i 4 r = ₀ i 4 r (1+ ) ) Hence, the magnetic field at the centre (C ) of the arrangement shown in figure is, ( ₀ 4 r i(1+ ) ).