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$\bullet$ (a) How large a current would a very long, straight wire have to carry so that the magnetic field 2.00 $\mathrm{cm}$ from the wire is equal to 1.00 $\mathrm{G}$ (comparable to the earth's northward-pointing magnetic field)? (b) If the wire is horizontal with the current running from east to west, at what locations would the magnetic field of the wire point in the same direction as the horizontal componentof the earth's magnetic field? (c) Repeat part (b) except with the wire vertical and the current going upward.

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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

Hope College

University of Winnipeg

McMaster University

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) How large a current wo…

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A straight, vertical wire …

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A straight vertical wire c…

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A straight 15.0-g wire tha…

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Two long insulated wires l…

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So we have some givens. We have the formula for the magnetic field equaling you, not perimeter the magnetic permeability in a vacuum. Or we considered primitive ity of free space times the current divided by two pi r We should for part a. We can solve for the current and say that this is going to be equal to two pi br divided by mu not and so we can solve to pie times one times 10 to the fourth Tesla's so simply tend to negative forthe Tesler times 0.20 meters divided by four pi times 10 to the negative seventh, not Tesler meters per gramps. And this is going to be equal to 10 0.0 apse. So this would be your answer for party. And so for part B, when they're asking us, where does the magnetic field point North point northward? Well, we know that the current runs east to west, so we can say that Earth's horizontal field points northward at all points so we can say simply so at all. Points directly above the weir. The magnetic field of the wire points northward so a bit her most. However, um, it's all necessary the due to the earth being I mean it There in the reference frame, the earth is so large that at all points on at all points on earth, that's simply going to point upward. So northwards rather so we can say that at all points directly above the wire. The magnetic field of the wire also points northward. No matter where you are for part, see if the current runs from south to north. Ah, here, um, we can say that again. Earth's horizontal field points northward so we can say at all points directly east of the wire. The magnetic field of the wire again points northward. And that would be your answer for part. See, that is the end of the solution. Thank you for watching.

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