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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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.
х х х
R
х х
х х х
b
t x
Transcribed Image Text: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. х х х R х х х х х b t x
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