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$\bullet$ A circular loop of wire with a radius of 12.0 $\mathrm{cm}$ is lying flat on a tabletop. A magnetic field of 1.5 $\mathrm{T}$ is directed vertically upward through the loop (Figure 21.49 ). (a) If the loop is removed from the field region in a time interval of 2.0 $\mathrm{ms}$ , find the average emf that will be induced in the wire loop during the extraction process. (b) If the loop is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?

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Physics 102 Electricity and Magnetism

Chapter 21

Electromagnetic Induction

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Inductance

Alternating Current

Nathalie F.

October 20, 2020

missing pie in the equation

how is the answer for part a 34V when on my calculator i get 10.8?

Rutgers, The State University of New Jersey

University of Washington

University of Winnipeg

Lectures

03:27

Electromagnetic induction is the production of an electromotive force (emf) across a conductor due to its dynamic interaction with a magnetic field. Michael Faraday is generally credited with the discovery of electromagnetic induction in 1831.

08:42

In physics, a magnetic field is a vector field that describes the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H, where H is measured in units of amperes per meter (usually in the cgs system of units) and B is measured in teslas (SI units).

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(I) A 12.0 $\mathrm{cm}$ -…

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A flexible circular loop 6…

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So some givens we have a fair day's law in this states that thie induced EMF is equaling too is equal to the absolute value of thie. Change of the magnetic flux with respect to time, we also know that the magnetic flux is going to be equal to the magnitude of the magnetic field times the area times co sign If I we know coast kind of flies going to be equal toe one in this case s O, we can say that the induced IMF will be equal to the negative B times A by the by Delta T or we can simply say be a overdone titty. So at this point for party, they want us to find the IMF. So this is going to be equal. Teo 1.5 Tesla's times 0.120 meters squared, and then this will be divided by time. In this case, no, what's 2.0 times 10 to the negative third seconds and we find that the induced EMF here is going to be approximately 34 volts. So this would be your answer for a party? Um, for part B, we're going to use lenses law and lenses. Law states that the direction of an induced current opposes the change in the circuit or the magnetic field that produced the current. So here, we're going to use right hand rule again. Your thumb represents the magnetic field, and you're curled. Fingers will represent the direction of the current. So here again, the induced current will follow right hand rule. So if we looking at top of coil, we can say that the magnetic field is out of the page. So in this case, this means that the direction ah, see, induced current is counterclockwise again. This is according to right hand rule. So this would be your answer for part B. That is the end of the solution. Thank you for watching.

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