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A square of side $2.0 m$ is placed in a uniform magnetic field $B = 2.0 T$ in a direction perpendicular to the plane of the square inwards. Equal current $i = 3.0 A$ is flowing in the direction shown in the figure. Find the magnitude of magnetic force on the loop.
Current flowing through the current

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towards $E C$

towards $E D$

no current is flowing

towards $E A$

answer is C.

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Detailed Solution

Force on wire $A C D$ = Force on $A D$ = Force on $A E D$

$∴$ Net force on the loop = $3 (F_{A D})$

So,

$F_{n e t} = 3 (i) (A D) (B) = (3) (3.0) (2 \sqrt{2}) (2.0) N = 36 \sqrt{2} N$

Direction of this force is towards $E C$ .

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