In the figure, a conducting rod of length L = 31.0cm moves in a magnetic field B

Question

In the figure, a conducting rod of length L = 31.0cm moves in a magnetic field B of magnitude 0.400T directed into the plane of the figure. The rod moves with speed v = 7.00m/s in the direction shown.

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

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

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

In the figure, a conducting rod of length L = 31.0cm moves in a magnetic field B of magnitude 0.400T directed into the plane of the figure. The rod moves with speed v = 7.00m/s in the direction shown. a) When the charges in the rod are in equilibrium, what is the magnitude E of the electric field within the rod? b) What is the magnitude Vba of the potential difference between the ends of the rod? c) What is the magnitude E of the motional emf induced in the rod?

Explanation / Answer

a)

E=v*B=7*0.4 =2.8 V/m

b)

Vab=BLV =0.4*0.31*7=0.868 Volts

c)

Einduced=0.868 Volts

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