First slide
Force on a current carrying wire placed in a magnetic field
Question

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

Moderate
Solution

FBC=FAD

magnetic induction at the location of BC : 

BBC=Bo1+2ll2=5Bo

magnetic induction at the location of AD

BAD=Bo1+ll2=2Bo

Fnet=i.l.5Boi.l.2Bo=3ilBo .

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