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A cardboard tube is wrapped with two windings of insulated wire, as shown in Figure $21.50 .$ Is the induced current in the resistor $R$ directed from left to right or from right to left in the following circumstances? The current in winding $A$ is directed (a) from $a$ to $b$ and is increasing, (b) from $b$ to $a$ and is decreasing, $(c)$ from $b$ to $a$ and is increasing, and (d) from $b$ to $a$ and is constant.

a. the direction of the induced current is from left to right.b. the direction of the induced current is from right to left.c. the direction of the induced current is from left to right.d. there is no induced current in the resistor.

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

University of Washington

University of Winnipeg

McMaster University

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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A cardboard tube is wrappe…

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A coil with zero resistanc…

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Variation of current passi…

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You perform experiments us…

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One conducting $U$ tube ca…

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Referring to Figure 23.57(…

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The current in the long, s…

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so for party. When we're trying to find the current, we know that the magnetic field is to the left and increasing. We know that the flux is increasing the flux through the loop. So essentially, we know that the magnetic field must be to the right and b therefore, the current flows to go left for part B. We know that the magnetic field is again to the right and increasing. We know here that the flux is actually decreasing through the loop and that be must be to the right of B again. The current flows two on the left for apart. See, we know that again be is to the right and increasing again here, just like party flux is increasing. However, we know that here the magnetic field must b to the left and B. So we know that the current flows to the right. This would be our answer for part, See, and lastly, we have the d. We know that the magnetic field of a is constant. So if the magnetic field of a constant, that means that the flux through Luke be is constant as well. So if the magnetic field is constant, the flux in the other loop is constant. This means that there is no induced EMF and that there's no induced current. So these would be your answers for a party. That is the end of the solution. Thank you for watching.

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