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(II) A flat square sheet of thin aluminum foil, 25 $\mathrm{cm}$ on a a side, carries a uniformly distributed 275 $\mathrm{nC}$ charge. What, approximately, is the electric field $(a) 1.0 \mathrm{cm}$ above the center of the sheet and $(b) 15 \mathrm{m}$ above the center of the sheet?

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a) $2.5 \times 10^{5} N / C,$ away from the sheetb) $11 N / C,$ away from the sheet

Physics 102 Electricity and Magnetism

Chapter 22

Gauss's Law

Electric Charge and Electric Field

Electric Potential

Cornell University

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

Lectures

13:02

In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.

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.

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(II) A flat square sheet o…

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A flat square sheet of thi…

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Two $10 \mathrm{cm} \times…

06:48

A solid sphere $25 \mathrm…

01:25

A large sheet of charge ha…

03:41

A nonconducting, thin plan…

03:51

A $10 \mathrm{cm} \times 1…

03:17

The electric flux through …

A large flat sheet of char…

06:53

A rod $50 \mathrm{cm}$ lon…

01:02

A charge $Q$ is uniformly …

04:39

(II) A 15.0 -cm-diameter n…

05:31

$\left.y^{2}+25\right)^{3 …

04:40

A $15-n C$ point charge is…

So we have a square sheet. I'm bad at drawing. Sorry about that Off site. So this charge on it off 275 9 of columns and square sheet has a side off 25 centimeters. We want to find out for about a the field at the distance, off one centimeter. Able the surface. Of course, this is not for scale. The one centimeter would have been very small. No, because this distance is very small. We can consider this sheet Toby, an infinite sheet on with already formed the formula for the field near infinite Sheet. We saw that it was signaled by two excellent Sigma used the charge from city. That is it. As soon as you recognise that this is a situation, it the problem is trivial. Sigma is obviously Q charged area charges to 35 9 of problems. So that's who's on fire under 10 part. I understand. Williams, delighted by area, is obviously the square off the side. 25 city. We doesn't see the 25 1 to 5 meters and that's squid. Now you write it bite two times X alone. Not is as we know, a funk. A 2 5 to 10 for minus 11 Fulham Square When you don't meet your square, no, you can see that the units give you a new temple, Coolum, which is what you expect for electric field, the number turn sort of way. 2.5 10 55 you don't call him. Of course, this is only the magnitude. I feel it's important to make toe find the direction toe because we consider it to be an infinite metal infinite Charles committal sheet. They infinite charge sheet. The Littlefield would be perpendicular to the surface itself, which means it would be something that for Barbie we consider the field a distance off 15 meters. Now. Notice that if this was really 15 meters, the she would look something like this in that green color or here, which means that is 15 meters 25 is 60 times larger than 25 30 meters, and hence we can think off it as a point charge. So for a point charge, the electric field would simply be one by four. By esplanade, you buy our squid so we know that one before Paxil or not, is a 10.988 into 10 part nine. You don't meet a square for Coolum Square Times. Q is to 75 to 10 by minus nine by R. Squared is 15 square because 15 meters excuses 11 Newton for Coolum. Again, the direction off the field would simply be away from the shed.

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