Two long parallel wires 20 cm apart carry currents of 5.0 A and 8.0 A in the same direction.Is there any point between the two wires where the magnetic field is zero?

Question

Quizplus · Accepted Answer

The magnetic field due to each wire at a point between them is given by:
B = (μ₀/4π) * I / d
where I is the current, d is the distance from the wire, and μ₀ is the permeability of free space.
At the midpoint between the wires, the fields due to the two wires are in opposite directions and have equal magnitudes, resulting in a net magnetic field of zero.
At a distance of 12 cm from the 5-A wire, the fields due to the two wires are not equal and opposite, so the net magnetic field is not zero.
However, at a distance of 7.7 cm from the 5-A wire, the fields due to the two wires are again equal and opposite, resulting in a net magnetic field of zero. Therefore, the correct answer is (C).

Two Long Parallel Wires 20 Cm Apart Carry Currents of 5.0