A semicircular wire of radius $5.0 c m$ carries a current of $5.0 A$ . A magnetic field $B$ of magnitude $0.50 T$ exists along the perpendicular to the plane of the wire. Find the magnitude of the magnetic force acting on the wire.

0.25 N

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0.50 N

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0.1 N

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None

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Solution

The correct option is A $0.25 N$
Force on a semicircular wire $F = B i L$ Where $L = 2 R$
$= 2 i R B$
$= 2 \times 5 \times 0.05 \times 0.5$
$= 0.25 N$

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