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 ¬t² ,-At2 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. Derive an expression for the current in this case.

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 ¬t² ,-At2 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. Derive an expression for the current in this case.

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 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
¬t²
,-At2
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. Derive an expression for the current
in this case.

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

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