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A rectangular loop of wire oriented with...

A rectangular loop of wire oriented with the left corner at the origin one edge along X -axis and the other along `Y` axis as shown in the A magnetic field is into the page and has a magnitude that is given by `b=alphay` where `alpha` is contant Find the total magnetic force on the loop if it carries current

Text Solution

Verified by Experts

The correct Answer is:
`F =alpha a^(2)ihatj`
Force on `AB` and `CD` will be equal and opposite and on `AD` will also be zero
Force on `BC`
`oversetrarrF_(BC) = I(oversetrarrL xx oversetrarrB)`
`oversetrarrF_(BC) = ia(alphaa) hatj`
`F_(BC) = alphaa^(2)i hatj`
.
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