Two parallel metal rails, lying at a distance L from each other, are connected by a capacitor of capacitance C at one end. The capacitor is initially uncharged. The arrangement is in a vertical, homoge- neous magnetic field B, which is constant in time. A conducting rod of resistance R and mass m is laid perpendicularly onto the rails, and it is given an initial specd vo - B Determine the final speed of the rod, provided that the rails are long enough, and the homogencous magnetic field extends far enough. (The electric resistance of the rails. the friction and the effects of self induction are negligible.)

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Two parallel metal rails, lying at a distance L from each other, are
connected by a capacitor of capacitance C at
one end. The capacitor is initially uncharged.
The arrangement is in a vertical, homoge-
neous magnetic field B, which is constant in
time. A conducting rod of resistance R and
mass m is laid perpendicularly onto the rails,
and it is given an initial speed vo.
Vo
Determine the final speed of the rod, provided that the rails are long enough, and the
homogeneous magnetic field extends far enough. (The electric resistance of the rails.
the friction and the effects of self induction are negligible.)
Transcribed Image Text:Two parallel metal rails, lying at a distance L from each other, are connected by a capacitor of capacitance C at one end. The capacitor is initially uncharged. The arrangement is in a vertical, homoge- neous magnetic field B, which is constant in time. A conducting rod of resistance R and mass m is laid perpendicularly onto the rails, and it is given an initial speed vo. Vo Determine the final speed of the rod, provided that the rails are long enough, and the homogeneous magnetic field extends far enough. (The electric resistance of the rails. the friction and the effects of self induction are negligible.)
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