A homogeneous field of magnetic induction B is perpendicular to a track of gauge ℓ which is inclined at an angle α to the horizontal. A frictionless conducting rod of mass m straddles the two rails of the track as shown in the figure. a) If the circuit formed by the rod and the track is closed by a resistor of resistance R, after a while the rod slides with constant speed v down the track. Find this velocity v. b) If the resistor is replaced by a capacitor of capacitance C, the rod moves with constant acceleration a when it is released from rest. Find the acceleration a.

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Chapter1: Units, Trigonometry. And Vectors
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A homogeneous field of magnetic induction B is perpendicular to a track of gauge ℓ which is inclined at an angle α to the horizontal. A frictionless conducting rod of mass m straddles the two rails of the track as shown in the figure.
a) If the circuit formed by the rod and the track is closed by a resistor of resistance R, after a while the rod slides with constant speed v down the track. Find this velocity v.
b) If the resistor is replaced by a capacitor of capacitance C, the rod moves with constant acceleration a when it is released from rest. Find the acceleration a.

R
B
Transcribed Image Text:R B
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