Magnetic Effects Of Current Question 447

Question: A circular coil ABCD carrying a current i is placed in a uniform magnetic field. If the magnetic force on the segment AB is $ \overset{\to }{\mathop{F}}, $ the force on the remaining segment $ BCDA $ is

Options:

A) $ \overset{\to }{\mathop{F}}, $

B) $ \overset{\to }{\mathop{-F}}, $

C) $ 3\overset{\to }{\mathop{F}}, $

D) $ -3\overset{\to }{\mathop{F}}, $

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Answer:

Correct Answer: B

Solution:

[b] Here, $ {{\overset{\to }{\mathop{F}},}_{AB}} $+

${{\overset{\to }{\mathop{F}}}_{BCDA}}$=

$\overset{\to }{\mathop{0}}, $

$ \Rightarrow {{\overset{\to }{\mathop{F}}}_{BCDA}}$=

$-{{\overset{\to }{\mathop{F}}}_{AB}}=-\overset{\to }{\mathop{F}} $

$ (\because F_{AB}=\overset{\to }{\mathop{F}}) $