Same current i = 2A is flowing in a wire frame as shown in figure… - Vidyadip

MCQ

Same current $i = 2A$ is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles $ACD$ and $CDE$ of side $1\,m$. It is placed in uniform magnetic field $B = 4T$ acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is.......$N$

✓
$24 $
B
$0$
C
$16$
D
$8$

✓

Answer

Correct option: A.

$24 $

a
(a) ${\overrightarrow F _{CAD}} = {\overrightarrow F _{CD}} = {\overrightarrow F _{CED}}$
Net force on frame $ = 3{\overrightarrow F _{CD}}$ $ = (3)\,(2)\,(1)\,(4)$ ($F = ilB$)
= $24 \,N$

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