Consider the system pictured in the figure below. A 13.8-cm horizontal wire of m

Question

Consider the system pictured in the figure below. A 13.8-cm horizontal wire of mass 14.5 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 4.80-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. . (c) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. magnitude__________ http://www.webassign.net/serpse8/29-p-040-alt.gif

Explanation / Answer

Part C: To find the magnitude and direction of the minimum magnetic field, write out the forces acting along the y-direction: Forces along y = magnetic force - m*g = 0 (*where m=mass, g=gravity) magnetic force = I*L*B (*where I=current, L=length, B=magnetic field) plugging this into the equation we get: Forces along y = I*L*B - m*g = 0 this can rewritten as : I*L*B = m*g Solving for B, we get: B = (m*g) / I*L*B

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