What is the magnitude of the magnet field B at the center of the magnet? A recta

Question

What is the magnitude of the magnet field B at the center of the magnet?

A rectangular loop of wire hangs vertically as shown in the figure. A magnetic field is directed horizontally, perpendicular to the wire, and points out of the page at all points as rep-resented by the symbol . The magnetic field is very nearly uniform along the horizontal portion of the wire ab (length is 0.3 m) which is near the center of a large magnet producing the field. The top portion of the wire loop is free of the field. The loop hangs from a balance which measures a downward force (in addition to the gravitational force) of 3.64 x 10^-2 N when the wire carries a current 0.38 A. What is the magnitude of the magnet field B at the center of the magnet? Answer in units of T.

Explanation / Answer

the magnetic force balancs the gravtational force
Fb = Fg

I*a*B = 3.65e-2

B = 0.32 T

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