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At a certain distance from a point charge, the potential and electric-field magnitude due to that charge are 4.98 V and $12.0 \mathrm{V} / \mathrm{m},$ respectively. (Take the potential to be zero at infinity.) (a) What is the distance to the point charge? (b) What is the magnitude of the charge? (c) Is the electric field directed toward or away from the point charge?

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Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 18

Electric Potential and Capacitanc

Kinetic Energy

Potential Energy

Energy Conservation

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Cornell University

Simon Fraser University

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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At a certain distance from…

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A point charge has a charg…

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(II) The electric field mi…

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Two point charges of equal…

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Two charges of equal magni…

So in this question they tell us that we have a potential from at a distance, some distance from a point charge of 4.98 fold Sofia's 4.9 a bull's eye. And we're also told that the electric field is 12 volts per meter in our goal is to get the charge and the distance to the point charge. So here's the point charge. And if the electric fields positive, I would say that this is gonna be a positive charge. And then here is the position that we're looking at. So what we want to use is the formulas E equals que que over r squared. And then V is equal to K Q over our and then our goal is to get this. Q. I meant to use it capital or both. Kappler both negatives all go ahead and correct that just in case that creates any confusion. So, yeah, so we can see that the electric field is just the potential multiplied by one over R. So you can say that E is equal to, um V divided by our because it just has this extra factor of our. So if we have e we have V the waking up that are is equal to me or excuse me V divided by me by cross multiplying. So, uh, it's hoping these would be easier to divide but 4.9 a divided by 12 mr 415 meters and then we can go ahead and sell for a Q. And so, um, based on this one, So go ahead and block box this before it gets too confusing. So here's our R and then, um, we can sell for a Q because Q is equal to B r o ver que. Because the nine in 10 of the nine and some to go ahead and plug in this fee for 0.98 times is our and then we want to divide by K nine times 10 to the nine. So I got 2.30 times 10 to the minus 10. Coombs is there anything else is problem ones and then the electric field is directed away from the point charge. So this isn't the answer for B A and then for see its way

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