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Force on a Current Loop in a Nonuni form Magnetic Field. It was shown in section 27.7 that the net force on a current loop in a uniform magnetic field is zero. But what if B is not uniform? The figure shows a square loop of wire that lies in the wy-plane. The loop has corners at (0, 0), (0, L),(L, 0), and (L, L) and carries a constant current / in the clockwise direction. The loop is in a magnetic field that points into the page and whose magnitude is given by the equation: B = (Boxy/ L2) where Bo is n positive constant.

2452_Force on a Current Loop in a Nonuniform Magnetic Field.png

(a) Find an equation for the magnitude of the net magnetic force on the loop in terms of the constants Bo, I, and L.

(b) Find an equation for the direction of the net magnetic force on the loop in terms of the constants Bo, I, and L.

(c) What is the magnitude and direction of the net magnetic force on the loop for L = 25 mm I = 2.5 A wnrl B = 0.75 T?

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