A 0.260 m -long bar moves on parallel rails that are connected through a 6.37 ?

Question

A 0.260 m -long bar moves on parallel rails that are connected through a 6.37 ? resistor, as shown in the following figure (Figure 1) , so the apparatus makes a complete circuit. You can ignore the resistance of the bar and rails. The circuit is in a uniform magnetic field 1.41 Tthat is directed into the plane of the figure.

A)

At an instant when the induced current in the circuit is counterclockwise and equal to 1.60 A , what is the magnitude of the velocity of the bar?

Express your answer with the appropriate units.

Explanation / Answer

Induced emf is,

   e = BLv

Induced current is,

     I = e / R

    I = BLv / R

   1.6 = 1.41* 0.26 * v / 6.37

v = 27.8 m/s

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