MHT CET202310 May 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual
Two long parallel wires carrying currents 8 ~A and 15 ~A in opposite directions are placed at a distance of 7 ~cm from each other. A point ' P ' is at equidistant from both the wires such that the lines joining the point to the wires are perpendicular to each other. The magnitude of magnetic field at point ' P ' is ( 2 =1.4) ( ₀=4 10⁻⁷ SI units)
Options
- A68 10⁻⁶ ~T
- B48 10⁻⁶ ~T
- C32 10⁻⁶ ~T
- D16 10⁻⁶ ~T
Correct answer
A. 68 10⁻⁶ ~T
Step-by-step solution
Magnetic field produced by two wires B ₁= ₀ I ₁ 2 X and B ₂= ₀ I ₂ 2 X From Figure, aligned B _ net & = B ₁^2+ B ₂^2 & = ₀ 2 X I ₁^2+ I ₂^2 aligned Also, using Pythagoras theorem, 2 X ^2=7 7 ~cm aligned X & = 7 2 ~cm ~B _ net & = 4 10⁻⁷ 2 7 2 10⁻² 15^2+8^2 & 68 10⁻⁶ ~T aligned