4:36 PM .oooo T-Mobile webassign net Show My Work optional Consider the system p

Question

4:36 PM .oooo T-Mobile webassign net Show My Work optional Consider the system pictured below. A 14.7 cm length of conductor of mass 14.6 g, free to move vertically, is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. When a 5.0 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, and under what condition is the wire able to move upward at constant velocity? Magnetic force lap and gravey down I wa (b) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. T (c) What happens if the magnetic field exceeds this minimum value? (The wire slides without friction on the two vertical conductors.) Show My Work optional

Explanation / Answer

(A) Weight force - downwards

magnetic force - this have to be upward.

magnitude of weight force and magnetic forces will be equal such that net force on wire will be zero.

(B) Fm = m g = 14.6 x 10^-3 x 9.8

= 0.143 N

upward

Fm = IL X B

IL -> to the left

So B -> out of screen

0.143 = (0.147 x 5) B

B = 0.195 T

(C) then wire will start to accelerate upwards.

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