Answered: B = Boe¬At² where Bo and A are…

B = Boe¬At² where Bo and A are constants. If the loop has resistance R, show that there is a current in the loop of magnitude 2a²\Bote¬At²

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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Question

S
B
Figure 2: A loop of current in a uniform magnetic field, where S is its vector area.

A square loop of wire with edge length a sits in a uniform magnetic field as shown in figure 2,
where the magnitude of the magnetic field varies with time t according to
B= Boe-At²
where Bo and A are constants. If the loop has resistance R, show that there is a current in
the loop of magnitude
2a²\Bote¬²
I
R
Consider now that the coil rotates, such that its vector area S is at an angle 0 = wt relative
to the field B, where the angular velocity w is constant.
As well as rotating, the loop now moves in the direction of B with a constant speed v.
Explain briefly what effect, if any, this has on the current induced in the loop.

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