The figure shows a top view of a bar that can slide without friction along two p

Question

The figure shows a top view of a bar that can slide without friction along two parallel horizontal rails. The resistor is 5.2? and a 3.0T magnetic field is directed perpendicularly downward, into the paper (the image might not necessarily show the correct direction of the magnetic field). The length of the moving metal bar is l=88.0cm. An applied force is required to move the bar to the right at a constant speed of 2.3m/s.

a) What current is induced in the resistor? Answer in A. Indicate the direction of the current by using a positive number if the current flows in the circuit in a clockwise direction, or negative for counterclockwise flow, as viewed in the figure.

b) Calculate the magnitude of the applied force required to move the bar to that speed. Express your answer in Newtons.

The figure shows a top view of a bar that can slide without friction along two parallel horizontal rails. The resistor is 5.2? and a 3.0T magnetic field is directed perpendicularly downward, into the paper (the image might not necessarily show the correct direction of the magnetic field). The length of the moving metal bar is l=88.0cm. An applied force is required to move the bar to the right at a constant speed of 2.3m/s. a) What current is induced in the resistor? Answer in A. Indicate the direction of the current by using a positive number if the current flows in the circuit in a clockwise direction, or negative for counterclockwise flow, as viewed in the figure. b) Calculate the magnitude of the applied force required to move the bar to that speed. Express your answer in Newtons.

Explanation / Answer

part A:

induced emfe = lVB sin theta

emf e = 0.88 * 2.3 * 3

emf e = 6.072 Volts

induced current i = emf/R

i = 6.072/(5.2)

i = 1.167 Amps

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current will be in Clockwise direction

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b. magnetic force = F = iLB sin theta

F = 0.88 * 1.167 * 3

F = 3.081 N

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