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ABCD is a square loop having length of side ‘l’ and it is carrying a current i. The loop is placed in a region where a magnetic field B→=−Bo1+x2l2k^ exists as shown in figure. Then net force experienced by the loop is

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a

ilB0

b

2ilB0

c

4ilB0

d

3ilB0

answer is D.

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Detailed Solution

F→BC=F→ADmagnetic induction at the location of BC : BBC=Bo1+2ll2=5Bomagnetic induction at the location of ADBAD=Bo1+ll2=2Bo∴Fnet=i.l.5Bo−i.l.2Bo=3ilBo .
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ABCD is a square loop having length of side ‘l’ and it is carrying a current i. The loop is placed in a region where a magnetic field B→=−Bo1+x2l2k^ exists as shown in figure. Then net force experienced by the loop is