2. Consider the system pictured in the figure below. A 20.0-cm horizontal wire o

Question

2. Consider the system pictured in the figure below. A 20.0-cm horizontal wire of mass 15.0 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 7.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire ? (b) Under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value?

Explanation / Answer

part A :

the forces that act on the wire are

magnetic force upwards and gravitational force downwards

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part B :

condition for moving with constant velcoity is magnetic force = gravitatioanl force

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part C:

so mg = iLB

magnetic field B = mg/iL

B = 15 e -3 * 9.81/(7 * 0.2)

B = 0.105 tesla

dirrection is out of screen
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part D:

net Upward force will be increased, and wire will acclerate upwards

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