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$\cdot$ The 20.0 $\mathrm{cm}$ by 35.0 $\mathrm{cm}$ rectangular circuit shown in Figure 20.65 is hinged along side ab. It carries a clockwise 5.00 A current and is located in a uniform 1.20 $\mathrm{T}$ magnetic field oriented perpendicular to two of its sides, as shown. (a) Make a clear diagram showing the direction of the force that the magnetic field exerts on each segment of the circuit $(a b, b c,$ etc. $) .$ (b) Of the four forces you drew in part (a), decide which ones exert a torque about the hinge ab. Then calculate only those forces that exert this torque. (c) Use your results from part (b) to calculate the torque that the magnetic field exerts on the circuit about the hinge axis $a b .$

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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

University of Sheffield

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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The $20.0 \mathrm{~cm} \ti…

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The 20.0 cm $\times$ 35.0 …

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The $20.0 \mathrm{~cm}$ by…

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A rectangular coil of wire…

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so we can draw a diagram of the circuit. Here we have a square with each of the points labeled A B C D mints. No. Okay, you have a B C. Andy here on the top. In the bottom, we have the current going to the right on the top and the magnetic field always pointing to the right and then two on the bottom. Rather, we have the magnetic field pointing to the right again. However, the current is now pointing to the left. And these these two are anti parallel, the the two on the top or parallel. Therefore, these don't have any force Four specters. So on the left side, going into the page, rather coming out of the page. My apologies. This would be labeled Force A B. Going straight up would be the current and again going to the rate would be in the magnetic field. Here we have force CD going into the page. Coming straight down would be the current and then going going to the right would be the magnetic field once again. So for party, they're asking us well, rather for party. We simply note that for segments BC, and D A. Ah, the force on these segments are zero because current and magnetic field are parallel and or rather or anti parallel, so we can say B and ah are parallel auntie Parallel. Now this is very important because the formula for the force is going to be equal to the magnitude of the magnetic field times The current times the length Times Co Sign of brother time sign If I So here, When the current and when the magnetic field and current are parallel or anti carlo here, the angle is going to be zero degrees. So sign of their degrees. But of course equals zero, and that's where the magnitude of the force is going to be. Zero. So it's all according to the equation. And for part B, they're asking for the, um, force of thie force of CD so we can say, Ah, we can first state that the force of a bee produces no torque. Ah, and acts as a hinge. Now, this is important because we can say that the force of CD is going to be equal to B sign of Fei here sign of files going to be ableto one so we can eliminate that term and force of CD is going to be people to 1.20 t times the current of five amps and then times the length of 0.2 meters. We see that the Force CD is going to be equal to 1.20 Newtons, so this would be your answer from heart be and therefore part see, they're asking us for the network so we can say that for quite see, torque is simply going to be equal to the force times the length away from thie access of rotation. So this is going to be equal to 1.20 Newton's Thea answer from party and then times the length Ah, which would simply be the distance from force CD to the hinge or the axis of the hinge 0.350 meters. So we can say that the torque is going to be equal to point 420 Newton meters, and this would be again directed out of Paige. So this would be your answer for part. See, that is the end of the solution. Thank you for watching

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