A conducting rod AB of length d = 1.6 m makes contact with the metal rails AD an

Question

A conducting rod AB of length d = 1.6 m makes contact with the metal rails AD and BC as shown in the diagram the apparatus is in a uniform magnetic field of flux density 650 mWb/m^2 perpendicular to the plane of the diagram. Find the magnitude of the induced emf in the rod if it is moving to the right with a velocity of 1 m/s. If the resistance in the circuit is 2.7 ohm, calculate the magnitude of the induced current Find the rate at which heat is developed in the circuit. Now, instead of a normal magnetic field the magnetic field makes an angle of 45 degree with the plane of the loop ABCD. Find the induced emf for the same flux density and velocity.

Explanation / Answer

a) Induced EMF = V = v*B*L

                            = (1)*(0.65)*(1.6)

                            = 1.04 V

b) Magitude of Induced Current = V/R

                                                  = (1.04)/(2.7)

                                                  = 0.385 A

c) Heat Power = V2/R

                       = (1.04)2/(2.7)

                       = 0.4 W

d) Now the induced emf for same flux and density = Blv*sin theta

                                                                               = 0.65*1.6*1*sin45

                                                                               = 0.735 V

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