What is the current induced in the rod? What is the magnitude of the force is re

Question

What is the current induced in the rod?

What is the magnitude of the force is required to keep the rod moving at a constant speed?

And what is the direction of this force? a. to the right b. to the left

The figure shows a 25cm -long metal rod pulled along two frictionless, conducting rails at a constant speed of 3.9m/s . The rails have negligible resistance, but the rod has a resistance of 0.55? What is the current induced in the rod? What is the magnitude of the force is required to keep the rod moving at a constant speed? And what is the direction of this force? a. to the right b. to the left

Explanation / Answer

Given:

Length of the metal rod = L = 25 cm = 0.25 m

Metal rod pulled across the conducting rails with

constant speed = v = 3.9 m/s

Resistence of the rod = R = 0.55 ?

Magnetic field applied = B = 1.4 T

Part: A )

It is known by the formula for induced e.m.f in the

rod is

induced e.m.f is   ( e) = B L v

                                       = (1.4)(0.25)(3.9)

                                       =  1.365 volts

      

thus, induced current in the loop is

   Iinduced  = einduced / R = (1.365)/ (0.55)

                                     Iinduced   = 2.482 A           

Part: B )

The amont of force needed to moving the rod at a constant speed   

is    : F = B Iinduced L    = (1.4)*2.482*(0.25)

                                 F        =   0.8687 N       

Part: C )

   Direction of this force is LEFT

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