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A closely wound, circular coil with radius 2.40 $\mathrm{cm}$ has 800 turns. What must the current in the coil be if the magnetic field at the center of the coil is 0.0580 $\mathrm{T}$ ?

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2.77 $\mathrm{A}$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 20

Magnetic Field and Magnetic Force

Motion Along a Straight Line

Motion in 2d or 3d

Electric Charge and Electric Field

Gauss's Law

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

Cornell University

University of Michigan - Ann Arbor

University of Winnipeg

Lectures

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

04:28

A magnetic field is a mathematical description of 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. The term "magnetic field" is often used to refer to the B field. In a vacuum, B and H are the same, whereas in a material medium, B is a component of H. In the latter case, H is the "magnetic field strength", and B is the "magnetic flux".

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A closely wound, circular …

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Consider a closely wound c…

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A closely wound circular c…

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$\bullet$ A closely wound …

02:41

A closely wound coil has a…

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A circular coil of wire co…

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For the given problem, we are asked to find the current i we can find the current use, an equation that is b is equal to mu, not in number of turns current. I divided by 2 rest distance to the center from here, we'll simply solve for i. So once we solve for i, we get a equation that is 2 b r divided by nod times. Next step will simply substitute the information that we got from the problem, that is 2 times 0.0580 tesla times 0.0240 meters, r divided by 4, pi times 10 to the power minus 7 times. The number of terms 800 point- and this gives us the i current of the 2.77.

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