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$\bullet$ $\bullet$ Two particles having charges of$+0.500 \mathrm{nC}$ and $+8.00 \mathrm{nC}$ are separatedby a distance of 1.20 $\mathrm{m}$ . (a) At what pointalong the line connecting the two chargesis the net electric field due to the twocharges equal to zero? (b) Where wouldthe net electric field be zero if one of thecharges were negative?

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Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Cornell University

University of Michigan - Ann Arbor

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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in this problem, it is given that there are two positive charges, plus 0.59 no columns and less it. No, no columns. That distance between these charges is D, and it is us that at how much distance from the first charge the electric field you do. These two charges is zero. Let at a distance x from first charge, the electric field list. Cyril, we know that electric field emerges out of the positive charge. So electric field at this point, dodo 0.59 no columns is in this direction and electric field. Do you do it? Nana columns, which is all supportive, is away from it in this direction so that to electric fields are in opposing directions. We can write electric field. You do 0.5 Nano column says Okay. Columns Constant into 0.5 in tow. 10 to the power minus nine. Bye. Ex Esquire. There's the electric field. You do the first charge equal to electric will do to the second charge. She is Yeah, in tow it into 10 to the power minus nine. Bye d minus X holy square. This implies that 0.5 by it is equal to excess squad upon D minus X only square. This will give us 0.25 The minus X is equal to X and it is given they're the distance between the two charges. Day is equal to 1.2 meters. So when we put this value we will get X equal. Do zero point 24 meters does at 0.24 meters from the first charge. The electric field, due to the two charges, is zero. Now for the second part of the question, it is given that if one of the two charges becomes negative, then there will be the electric field. Be Gero No if it is minus eight, Nano columns and first charges is still 0.59 No columns for Steve Chart. Then we know that electric field emerges out off the positive charge in Judah Negative charge. So to get the electric field zero, you have to take the point off zero electric field away from the boat charges like this. This is X from the Wes charge and over from what charges this is distance D. Yeah. The point off the electric field should be away from both charges and as it should not be in between that two charges so as to make the electrical zero there. So we get it right. They like to feel due to 0.59 No columns is like this, and electric will do to minus eight. Nana columns is the wind sits. So now these two can be it created electrical due to 0.5 in a local, um says induced 0.5 into 10 to the power minus nine bye XY squared. It's 1/4 to gay into it into 10 to the power minus nine upon day. Less x well, the square. This will give us 0.5 by eight. Is the Carletto excess glad upon B plus X Foley Square. When we solve this, we will get X equal to 0.4 meters from the If I start so at 0.4 meters from 015 NANO COLUMN Chart The electric field due to that two charges is zero

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