A metal bar with mass m can slide over two frictionless, parallel, metal rails, which are separated by a distance l, as shown in the figure. There is no resistance in the circuit except for a resistor R joining the two rails at one end. A uniform magnetic field of magnitude B, perpendicular to the plane holding the rails is pointing towards the plane of this drawing (into the page, see the figure below). A constant force F is applied so that the bar moves at a constant velocity v towards the right. B' R (a) Find the magnitude and direction of the electric current I circulating along the bar (justify your answer and ndicate explicitly the direction of the current on the circuit). b) Find the magnitude and direction of the force F necessary to apply to the bar in order to keep the bar moving at constant velocity v, i.e. with zero acceleration. (Justify your answer)

A metal bar with mass m can slide over two frictionless, parallel, metal rails, which are separated by a distance l, as shown in the figure. There is no resistance in the circuit except for a resistor R joining the two rails at one end. A uniform magnetic field of magnitude B, perpendicular to the plane holding the rails is pointing towards the plane of this drawing (into the page, see the figure below). A constant force F is applied so that the bar moves at a constant velocity v towards the right. B' R (a) Find the magnitude and direction of the electric current I circulating along the bar (justify your answer and ndicate explicitly the direction of the current on the circuit). b) Find the magnitude and direction of the force F necessary to apply to the bar in order to keep the bar moving at constant velocity v, i.e. with zero acceleration. (Justify your answer)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 72PQ

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Question

Make sure you put in correct units.

A metal bar with mass m can slide over two frictionless, parallel, metal rails, which are separated by a distancel,
as shown in the figure. There is no resistance in the circuit except for a resistor Rjoining the two rails at one end.
A uniform magnetic field of magnitude B, perpendicular to the plane holding the rails is pointing towards the plane
of this drawing (into the page, see the figure below). A constant force F is applied so that the bar moves at a
constant velocity v towards the right.
B
(a) Find the magnitude and direction of the electric current I circulating along the bar (justify your answer and
indicate explicitly the direction of the current on the circuit).
(b) Find the magnitude and direction of the force F necessary to apply to the bar in order to keep the bar moving
at constant velocity v, i.e. with zero acceleration. (Justify your answer)

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