In the figure, a conducting rod with length L = 35.0 cmmoves in a magnetic field

Question

In the figure, a conducting rod with length L = 35.0 cmmoves in a magnetic field B?  of magnitude 0.530 Tdirected into the plane of the figure. The rod moves with speed v = 7.00 m/s in the direction shown.

a) When the charges in the rod are in equilibrium, which point, a or b, has an excess of positive charge?

b) In what direction does the electric field then point? from a toward b or from b toward a

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

d) Which point, a or b, is at higher potential?

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.

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

given

L = 35 cm = 0.35 m

B = 0.53 T

v = 7 m/s

a) b

b) from b toward a

c) E = v*B

= 7*0.53

= 3.71 N/c

d) b

e) Vba = B*v*L

= 0.53*7*0.35

= 1.3 volts

f) induced emf = 1.30 volts

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