In the figure, a conducting rod of length L = 35.0 cm moves in a magnetic field

Question

In the figure, a conducting rod of length L = 35.0 cm moves in a magnetic field B of magnitude 0.460 T directed into the plane of the figure. The rod moves with speed v = 4.00 m/s in the direction shown.

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.

Explanation / Answer

C) When rod is in equilibrium

qE = Bqv

Electric field

E= Bv = (0.460T) (4 m/s) = 1.84 V/m

d)

Potential difference Vba = E * L = 1.84 * 0.35 = 0.644 V

e)

motional emf E = BLv = (0.460 T) (0.35 m) (4 m/s) = 0.644 V

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