First slide

Force on a current carrying wire placed in a magnetic field

Question

A triangular loop in the form of an equilateral triangle is carrying a current of 2A.The loop is placed in a uniform magnetic field of induction 1.5 T, with its plane perpendicular to the magnetic field as shown in figure. Then net force experienced by the loop is

Moderate

A

$16 N$
B

$4 \sqrt{3} N$
C

$8 \sqrt{3} N$
D

Zero

Solution

$\vec{F} = i \vec{l_{e}} \times \vec{B}$ .
For any closed current carrying loop, $l_{e}$ = 0.
$∴$ F = 0 .

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