Consider the arrangement shown in the figure below. Assume R = 4.00 N and { = 1.10 m, and a uniform 2.60-T magnetic field is directed into the page. At what speed should the bar bemoved to produce a current of 0.600 A in the resistor?m/sBinFapp

Answered: Cônsidér thé árrangement shown the…

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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Consider the arrangement shown in the figure below. Assume R = 4.00 N and { = 1.10 m, and a uniform 2.60-T magnetic field is directed into the page. At what speed should the bar be
moved to produce a current of 0.600 A in the resistor?
m/s
Bin
Fapp

Expert Solution

Step 1

Time varying magnetic fields produces a induced EMF which in turn produces current. This EMF depends on the velocity and magnetic field as well as on the length.

$E = (\vec{v} \times \vec{B}) . d l$

v is the velocity .

$E = B v l \sin θ$

So the current produced can be calculated using ohm's law,

E=IR

IR=Bvlsin $θ$

R is the resistance.

In this case both resistance and current is given. We ought to calculate the velocity.

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