A rectangular coil in the plane of the page has dimensions a and b. A long wire

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A rectangular coil in the plane of the page has dimensions a and b. A long wire that carries a current I is placed directly above the coil (Figure).

(a) Obtain an expression for the magnetic flux through the coil as a function of x for 0 ? x ? 2b.

(b) For what value of x is flux through the coil a maximum? For what value of x is the flux a minimum?

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