Question

A segment of wire carries a current of 25 A along the x axis from x = −2.0 m to x = 0 and then along the y axis from y = 0 to y = 3.0 m. In this region of space, the magnetic field is equal to 40 mT in the positive z direction. What is the magnitude of the force on this segment of wire?

Answer 1

Answer: F = 2N

Explanation: If a current i is flowing in a wire of length L lying in a region of magnetic field B, then the magnetic force acting on the wire is given by

F = BIL

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Answer 2

Magnitude of the force on this segment and region of space of wire is 2 N.

Magentic feild and force based probelm:

What information do we have?

Current in wire = 25 A

x axis from x = −2 m to x = 0 m

y axis from y = 0 m to y = 3 m

Magnetic feild = 40 mT

Force will be along x-axis segment only as in z-axis the angle between magnetic field and current is zero.

So,

F = BiLx

F = 40 × 10⁻³ × 25 × 2

F =  40 × 0.001 × 50

Force = 2N

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