MHT CET202410 May 2024Evening ShiftPhysicsMagnetic Effects of CurrentActual
The magnitude of magnetic field at point ' O ' in the following figure will be
Options
- A₀ 4 I r ( 2 +2 )
- B₀ 4 I r ( 2 -2 )
- C₀ 4 I r (2+ 2 )
- D₀ 4 I r (2- 2 )
Correct answer
C. ₀ 4 I r (2+ 2 )
Step-by-step solution
Magnetic field due to current carrying arc is, B= ₀ I 4 r = ₀ I 4 r 2 = ₀ I 8 r Magnetic field due to semi-infinite current carrying straight wires A B and C D is, 2 ₀ I 4 r = ₀ I 2 r Total magnetic field at ' O ' will be, aligned ₀ I 2 r + ₀ I 8 r & = ₀ I 2 r ( 1 + 1 4 ) & = ₀ 4 1 r ( 2 + 2 4 ) & = ₀ 4 1 r (2+ 2 ) aligned