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A 10.0 -cm-long solenoid of diameter 0.400 $\mathrm{cm}$ is wound uniformly with 800 turns. A second coil with 50 turns is wound around the solenoid at its center. What is the mutual inductance of the combination of the two coils?

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6.31$\mu \mathrm{H}$

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

Cornell University

University of Sheffield

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).

01:20

A 10.0-cm-long solenoid of…

03:57

A toroidal solenoid has a …

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03:47

A solenoid (A) of length 9…

01:31

A solenoid $50 \mathrm{cm}…

05:10

A coil of 40 turns is wrap…

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What is the mutual inducta…

02:56

A toroidal solenoid with m…

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(II) A 500 -turn solenoid,…

07:05

A long, current-carrying s…

06:05

02:37

A 600 -turn solenoid is $0…

01:42

A toroidal coil has a mean…

05:05

(II) A 600-turn solenoid, …

04:32

So here was simply finding the mutual induct in CE between two soul noise s so we can say that I am. This would be the mutual induct in SZ equals mu not the magnetic permeability of free of that of a vacuum. Or we can say primitive ity free space times The number of coils on the first saw annoyed times The number of coils in the second still annoyed times the ah cross sectional area divided by the length. So this would be four pi times 10 to the negative seventh and then we have 50 coils on one, 800 coils on the other times pi times 0.2 meters squared and then divided by hey point 100 meters And we find that the mutual induct in CE is going to be equal to six 0.32 times 10 to the native six Henry's So this would be our final answer. That is the end of the solution. Thank you for watching

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