4. A conducting bar slides on two parallel conducting rails that run down a ramp. The bar is perpendicular to the rails and is in contact with them. At the bottom of the ramp, the two rails are connected together. The bar slides down the rails through a vertical uniform magnetic field. The magnetic field is supposed to cause the bar to slide down the ramp at a constant speed even when friction between the bar and the rails is negligible. Calculate the constant speed of the bar sliding down the ramp as a function of the mass of the bar, the strength of the magnetic field, the angle of the ramp from the horizontal, the length of the bar (which is the same as the distance between the tracks, and the resistance of the bar. Assume that all of the other conductors in the system have much smaller resistance than the bar.
4. A conducting bar slides on two parallel conducting rails that run down a ramp. The bar is perpendicular to the rails and is in contact with them. At the bottom of the ramp, the two rails are connected together. The bar slides down the rails through a vertical uniform magnetic field. The magnetic field is supposed to cause the bar to slide down the ramp at a constant speed even when friction between the bar and the rails is negligible. Calculate the constant speed of the bar sliding down the ramp as a function of the mass of the bar, the strength of the magnetic field, the angle of the ramp from the horizontal, the length of the bar (which is the same as the distance between the tracks, and the resistance of the bar. Assume that all of the other conductors in the system have much smaller resistance than the bar.
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Transcribed Image Text:4. A conducting bar slides on two parallel conducting rails that run down a ramp. The bar is perpendicular to
the rails and is in contact with them. At the bottom of the ramp, the two rails are connected together. The bar
slides down the rails through a vertical uniform magnetic field. The magnetic field is supposed to cause the bar
to slide down the ramp at a constant speed even when friction between the bar and the rails is negligible.
Calculate the constant speed of the bar sliding down the ramp as a function of the mass of the bar, the
strength of the magnetic field, the angle of the ramp from the horizontal, the length of the bar (which is the
same as the distance between the tracks, and the resistance of the bar. Assume that all of the other
conductors in the system have much smaller resistance than the bar.
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