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Q.

A circular coil ABCD carrying a current ‘i’ is placed in a uniform magnetic field. If the magnetic force on the segment $A B is \vec{F}$ , the force on the remaining segment BCDA is

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a

$3 \vec{F}$

b

$- 3 \vec{F}$

c

$\vec{F}$

d

$- \vec{F}$

answer is A.

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Detailed Solution

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The net magnetic force on a current loop in a uniform magnetic field is always zero.

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$∴ {\vec{F}}_{A B} + {\vec{F}}_{B C D A} = 0 {\bar{F}}_{B C D A} = - {\bar{F}}_{A B} = - \bar{F}$

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A circular coil ABCD carrying a current ‘i’ is placed in a uniform magnetic field. If the magnetic force on the segment AB is F→, the force on the remaining segment BCDA is