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(Solved): A current in the z-direction passes through a rectangular loop in the xy-plane with corners located ...



A current in the

z

-direction passes through a rectangular loop in the

xy

-plane with corners located at the coordinate (

{:a_(1),b_(1)),(a_(1),b_(2)),(a_(2),b_(1))

and

(a_(2),b_(2))

as drawn below. If this current induces a magnetic field given by

vec(B)(x,y)=C[((x)/(y^(2)))(hat(i))+((1)/(y))(hat(j))]dots

Problem: Write an expression for the current

I(x,y)

through the loop.



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