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In the figure, a conducting rod of length L = 29.0 cm moves in a magnetic field

ID: 1543467 • Letter: I

Question

In the figure, a conducting rod of length L = 29.0 cm moves in a magnetic field B of magnitude 0.390 T directed into the plane of the figure. The rod moves with speed v = 6.00 m/s in the direction shown. (Figure 1)

Part C

When the charges in the rod are in equilibrium, what is the magnitude E of the electric field within the rod?

Express your answer in volts per meter to at least three significant figures.

Part E

What is the magnitude Vba of the potential difference between the ends of the rod?

Express your answer in volts to at least three significant figures.

Part F

What is the magnitude E of the motional emf induced in the rod?

Express your answer in volts to at least three significant figures.

b V ×xb× × XII× × ×L ××a× ×

Explanation / Answer

1.

electric field: E = vB = 6*0.39 = 2.34 V/m

2.

electric potential: Vba = EL = 2.34*0.29 = 0.6786 V = 0.678 V

3.

Emf = E = Vba = 0.6786 V = 0.678 V

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