(a) to the right or (b) to the left The figure shows a 23-cm long metal rod pull

Question

(a) to the right

  or

(b) to the left

The figure shows a 23-cm long metal rod pulled along two frictionless, conducting rails at a constant speed of 3.3 m/s. The rails have negligible resistance, but the rod has a resistance of 0.65 Ohm. Part A - What is the current induced in the rod? Express your answer using two significant figures. I = A Part B - What is the magnitude of the force is required to keep the rod moving at a constant speed? Express your answer using two significant figures. F = N Part C And what is the direction of this force? (a) to the right or (b) to the left

Explanation / Answer

Given: Length of the metal rod = L = 23 cm = 0.23 m Metal rod pulled across the conducting rails with constant speed = v = 3.3 m/s Resistence of the rod = R = 0.65 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)(0.23)(3.3)                                        =  1.0626 volts        thus, induced current in the loop is    Iinduced  = einduced / R = (1.0626)/ (0.65)                                      Iinduced   =   1.63476 A            Part: B ) The amont of force needed to moving the rod at a constant speed    is    : F = B Iinduced L    = (1.4)()1.63476(0.23)                                  F        =   0.52639 N        Part: C )    Direction of this force is LEFT Length of the metal rod = L = 23 cm = 0.23 m Metal rod pulled across the conducting rails with constant speed = v = 3.3 m/s Resistence of the rod = R = 0.65 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)(0.23)(3.3)                                        =  1.0626 volts        thus, induced current in the loop is    Iinduced  = einduced / R = (1.0626)/ (0.65)                                      Iinduced   =   1.63476 A            Part: B ) The amont of force needed to moving the rod at a constant speed    is    : F = B Iinduced L    = (1.4)()1.63476(0.23)                                  F        =   0.52639 N        Part: C )    Direction of this force is LEFT

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