First slide

Force on a current carrying wire placed in a magnetic field

Question

The L-shaped conductor ABC is carrying a current 5 A and it is placed in a uniform magnetic field of B = 0.5 T. If length AB = 3m and BC = 4m, the magnetic force experienced by the conductor ABC is

Moderate

A

15 N
B

12.5 N
C

10 N
D

7.5 N

Solution

Effective length $l_{e} = A C = \sqrt{3^{2} + 4^{2}} m = 5 m$
$∴ F = i l_{e} B = 5 \times 5 \times 0.5 N = 12.5 N$

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