A conductor rod of mass m and resistance R can slide frictionlessly down a path made of wire of negligible resistance and of width L (see figure). The system is placed in a region of uniform magnetic field Bin that is directed into the image plane. An ideal battery has an emf ɛ is attached to terminals a and b so that current flows downward. The rod is released from rest at t= 0. (a) Determine the force acting on the rod as a function of the speed. (b) Determine the terminal speed of the rod (rate at t →0). (c) Determine the current flowing in the rod as it moves with terminal speed. B in х х х R х х х b × × X
A conductor rod of mass m and resistance R can slide frictionlessly down a path made of wire of negligible resistance and of width L (see figure). The system is placed in a region of uniform magnetic field Bin that is directed into the image plane. An ideal battery has an emf ɛ is attached to terminals a and b so that current flows downward. The rod is released from rest at t= 0. (a) Determine the force acting on the rod as a function of the speed. (b) Determine the terminal speed of the rod (rate at t →0). (c) Determine the current flowing in the rod as it moves with terminal speed. B in х х х R х х х b × × X
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