MHT CET202311 May 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual
Two parallel wires of equal lengths are separated by a distance of 3 ~m from each other. The currents flowing through 1^ st and 2^ nd wire is 3 ~A and 4.5 ~A respectively in opposite directions. The resultant magnetic field at mid point between the wires ( ₀= . permeability of free space)
Options
- A₀ 2
- B3 ₀ 2
- C7 ₀ 2
- D5 ₀ 2
Correct answer
D. 5 ₀ 2
Step-by-step solution
Using Biot Savart law, B = ₀ I 2 r Magnetic field due to first wire: B ₁= ₀ I ₁ 2 r = ₀ 3 2 1.5 = 2 ₀ 2 Magnetic field due to second wire: B ₂= _ o I ₂ 2 r = _ o 4.5 2 1.5 = 3 ₀ 2 Net field, B = B ₁+ B ₂= 2 ₀ 2 + 3 ₀ 2 = 5 ₀ 2