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A long, straight telephone cable contains six wires, each carrying a current of 0.300 A. The distances between wires can be neglected. (a) If the currents in all six wires are in the same direction, what is the magnitude of the magnetic field 2.50 $\mathrm{m}$ from the cable? (b) If four wires carry currents in one direction and the other two carry currents in the opposite direction, what is the magnitude of the field 2.50 m from the cable?

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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

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser 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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for about 1/2 The given problem. You're asked to find what will be the main field off six wire. So let's say if the's a rose represents the wires, we have five and six wires there inside the cable. And what will the romantic field So the main to feel will be the some off the unusual magnetic fields off these wires. So use equation B is equal to mu nod. I'm, uh, the current in a single wire times. So how many wires we have? Six. Wire Settlement by six factor, divided by two by our off the next step will substitute values four pi times tended bar minus seven times the current we have in single wire that is 0.300 times six, divided by two by distance, 2.50 meter. This will give us a maybe field off 1.44 times 10 to the power minus seven Tesla. So this is for body for party question, Say's four wires has gotto. The current in this direction in two wires has go to current in this direction so we can use the superposition principle. S 02 and two will cancel out. So the resultant the current will be only the current in the two wires which will produce the meeting will be which we can write to you nod high times to hear Lee ready by to buy art again. We will use the same procedure to substitute values for current at a distance. 2.54 meters and we get to maybe feel, which is 4.8 times 10 to the power, um minus eight. To mine, it is Tesla.

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