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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

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