A metal bar of mass m=0.2 kg slides freely over two conducting rails separated by a distance W=1 meter. R A uniform magnetic field of strength B=0.1 Tesla is v applied between the rails as shown below. At time t=0, a switch is thrown to x=0 connect a battery of voltage V=10 Volts across the rails through a R=1000 resistor. a. Find the magnetostatic force on the bar after the switch is thrown. b. Neglecting friction and the self-inductance in the circuit, find the total distance the bar has traveled at t=10 seconds, assuming the bar is initially at rest when the switch is thrown. Note: as the bar moves, an induced emf gives rise to a damping force. Solve this problem to the total distance the bar has traveled at t=10 seconds. There are two ways to solve this problem. t=0 bar of mass m B 8 W

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A metal bar of mass m=0.2
kg slides freely over two
conducting rails separated
by a distance W=1 meter.
A uniform magnetic field
of strength B=0.1 Tesla is V
applied between the rails
as shown below. At time
t=0, a switch is thrown to
R
t=0
+
x=0
bar of mass m
B
∞
connect a battery of voltage V=10 Volts across the rails through a R=1000 resistor.
a. Find the magnetostatic force on the bar after the switch is thrown.
b. Neglecting friction and the self-inductance in the circuit, find the total distance the
bar has traveled at t=10 seconds, assuming the bar is initially at rest when the
switch is thrown. Note: as the bar moves, an induced emf gives rise to a damping
force. Solve this problem to find the total distance the bar has traveled at t=10
seconds. There are two ways to solve this problem.
Transcribed Image Text:A metal bar of mass m=0.2 kg slides freely over two conducting rails separated by a distance W=1 meter. A uniform magnetic field of strength B=0.1 Tesla is V applied between the rails as shown below. At time t=0, a switch is thrown to R t=0 + x=0 bar of mass m B ∞ connect a battery of voltage V=10 Volts across the rails through a R=1000 resistor. a. Find the magnetostatic force on the bar after the switch is thrown. b. Neglecting friction and the self-inductance in the circuit, find the total distance the bar has traveled at t=10 seconds, assuming the bar is initially at rest when the switch is thrown. Note: as the bar moves, an induced emf gives rise to a damping force. Solve this problem to find the total distance the bar has traveled at t=10 seconds. There are two ways to solve this problem.
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