Question

In the figure, a conducting rod of length L= 27.0 cm moves in a magnetic field B of magnitude 0.370 T directed into the plane of the figure. The rod moves with speed v = 7.00 m/s in the direction shown. (Figure 1)

 

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 £ of the motional emf induces in the rod?

Answer 1

a)

Magnitude of electric field

E=vB =7*0.37

E=2.59 V/m

b)

the magnitude Vba of the potential difference between the ends of the rod

V_ba=EL=2.59*0.27 =0.6993 Volts

c)

the magnitude £ of the motional emf induces in the rod

E=V_ba =0.6993 Volts