A conducting rod is pulled horizontally with constant force along a set of rails separated by L = 19 cm. Auniform magnetic field B = 1.6 Tis directed out of the page. There is no friction between the rod and therails, and the rod moves with constant velocity v = 14 m/s. If the resistance of the system is 0.65 0calculate the induced emf and current in the loop. Assign clockwise to be the positive direction for Emf.ВLThe induced emf, Emf =Units VThe induced current, i =Units AAt what rate does thermal energy releases in the rod?The power, PR =Units WWhat force is required to maintain the constant velocity of the rod? At what rate does this force do work?The force, F =Units NThe power, Pe =Units W

Consider the given data as below. Separation, L=19 cm=0.19 m Uniform magnetic field, B=1.6 T Constant velocity, v=14 ms Resistance, R=0.65 Ωa Calculate the induced emf as below. V=BvL sinθ=1.6×14×0.19×sin90°=4.256 Volt Hence, the induced emf is 4.256 Volt. b Calculate the induced current as follow. I=vBLR=14×1.6×0.190.65=6.5 A Hence, the induced current is 6.5 A.c Determine the power as given by PR=I2R=6.52×0.65=27.462 W Hence, thermal energy releases in the rod is 27.462 W. d To maintain the constant velocity of the rod the force will be, F=ILB sinθ=6.5×0.19×1.6×sin90°=1.976 N Hence, to maintain the constant velocity of the rod the force is 1.976 N. e Calculate the power as given by PF=F·v=1.976×14=27.664 W Hence, the required value of the power is 27.664 W.

Science

Physics

A conducting rod is pulled horizontally with constant force along a set of rails separated by L = 19 cm. A uniform magnetic field B = 1.6 Tis directed out of the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v = 14 m/s. If the resistance of the system is 0.65 0 calculate the induced emf and current in the loop. Assign clockvwise to be the positive direction for Emf. В L The induced emf, Emf =- Units V The induced current, i = Units A At what rate does thermal energy releases in the rod? The povwer, Pa = Units w What force is required to maintain the constant velocity of the rod? At what rate does this force do work? The force, F = Units N The power, Pe Units W

A conducting rod is pulled horizontally with constant force along a set of rails separated by L = 19 cm. A uniform magnetic field B = 1.6 Tis directed out of the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v = 14 m/s. If the resistance of the system is 0.65 0 calculate the induced emf and current in the loop. Assign clockvwise to be the positive direction for Emf. В L The induced emf, Emf =- Units V The induced current, i = Units A At what rate does thermal energy releases in the rod? The povwer, Pa = Units w What force is required to maintain the constant velocity of the rod? At what rate does this force do work? The force, F = Units N The power, Pe Units W

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A conducting rod is pulled horizontally with constant force along a set of rails separated by L = 19 cm. A
uniform magnetic field B = 1.6 Tis directed out of the page. There is no friction between the rod and the
rails, and the rod moves with constant velocity v = 14 m/s. If the resistance of the system is 0.65 0
calculate the induced emf and current in the loop. Assign clockwise to be the positive direction for Emf.
В
L
The induced emf, Emf =
Units V
The induced current, i =
Units A
At what rate does thermal energy releases in the rod?
The power, PR =
Units W
What force is required to maintain the constant velocity of the rod? At what rate does this force do work?
The force, F =
Units N
The power, Pe =
Units W

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