Two parallel conducting guides, distant b = 20 cm are closed at one end by a resistor with R = 42. Along the guides a conducting bar with m = 10-2 kg can slide without friction, under the action of its own weight. The device is immersed in a uniform and constant magnetic field B = 1 T, orthogonal to the plane of the circuit. Calculate how the speed, v(t), varies over time, the current i(t), the limit values v∞ and i and the energy W₁ dissipated in the circuit for each centimeter traveled by the bar when the limit values are reached.

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R
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b
X
Two parallel conducting guides, distant b = 20 cm
are closed at one end by a resistor with R = 4 02.
Along the guides a conducting bar with m = 10-²
kg can slide without friction, under the action of its
own weight. The device is immersed in a uniform
and constant magnetic field B = 1 T, orthogonal to
the plane of the circuit. Calculate how the speed,
v(t), varies over time, the current i(t), the limit
values v∞ and i and the energy W₁ dissipated in
the circuit for each centimeter traveled by the bar
when the limit values are reached.
28/71
Transcribed Image Text:R B b X Two parallel conducting guides, distant b = 20 cm are closed at one end by a resistor with R = 4 02. Along the guides a conducting bar with m = 10-² kg can slide without friction, under the action of its own weight. The device is immersed in a uniform and constant magnetic field B = 1 T, orthogonal to the plane of the circuit. Calculate how the speed, v(t), varies over time, the current i(t), the limit values v∞ and i and the energy W₁ dissipated in the circuit for each centimeter traveled by the bar when the limit values are reached. 28/71
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