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\bullet A single circular current loop 10.0 $\mathrm{cm}$ in diameter carries a 2.00 A current. (a) What is the magnetic field at the center of this loop? (b) Suppose that we now connect 1000 of these loops in series within a 500 $\mathrm{cm}$ length to make a solenoid 500 $\mathrm{cm}$ long. What is the magnetic field at the center of this solenoid? Is it 1000 times the field at the center of the loop in part (a)? Why or why not?

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a. $=2.51 \times 10^{-5}$ Teslab. $B=5.03 \times 10^{-4}$c. No

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 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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A single circular current …

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The magnetic field at the …

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The current flowing in a s…

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A solenoid has 1000 turns …

A square, single-turn wire…

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A 400 -turn solenoid of le…

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A small circular loop of a…

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A solenoid of radius $R=…

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A single-turn square loop …

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A current of $2.00 \mathrm…

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A solenoid that is 35 $\ma…

for but a off the given problem were asked to find What is the magnetic field at the center off this Luke, let's say this is This has got to die meter off a 10 centimeter and the current flows in this loop with two m Pierre. Get hostile Foreign. What is the magnetic field at the center? Off this loop, we can find that using an equation well, that is B is equal to nod. I divided by two are you are so we'll substitute Values will be will be called unalis constant four pi times 10 to the power minus seven times two impure current divided by two times off a radius we can write radius will be cool Thio ah, half off the diameter which is 10 divided by two just five centimeter so are will be converting this into meters will be 0.5 meters. So we'll substitute this friend who's ever 0.5 meters here and the man to feel that we obtained here is 2.51 times 10 to the power minus fired minus five Tesla for part B. We are asked if we have, um, Lucques combined together and we have 1000 loops. Um, what will be demanding field and this makes it This is so annoyed. So what will be the man to feel that central so annoyed? We can write that by using a question that is, they're made. You feel that sun drops off nineties? No and small in terms. I were small and is don't number of towns which in this case is 1000 divided by the length off this annoyed, which is 520 meter and this will be five meters. So this will give us a small and off. Oh, this is five tools attend. So 200 will substitute this 200 here. They won't apply with the four pi times stent about minus seven times 200 times. The current is too. This will give us semantic field off 5.3 down Stent of power minus for Tesla for about sea off the problem. We are asked to, uh, if z is equal also, if this is 1000 times greater than oh, the magnetic field that we obtained in about a No, the answer is no this easy because the magnetic field, um in the loop is proportional to one were are were romantic field inside the sun. Lloyd depends on there. Lent office on Lloyd is proportional to went off Sunday night one or more precisely one. A woman off a solenoid.

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