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$\bullet$ Two equal point charges of $+3.00 \times 10^{\circ} \mathrm{C}$ are placed0.200 $\mathrm{m}$ apart. What are the magnitude and direction of theforce each charge exerts on the other?

2.022$N$

Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Simon Fraser University

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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in this problem, we're told that Kyu Wan is equal to three times tents in the negative six schools. Thank you too is the same value. And so we can automatically tell that the force will be repulsive since you wanted you to share the same sign right there. But positive. And we're also told that the distance between the two charges is equal to 0.2 meters. And so, in order to figure out the magnitude of this repulsive force we use F is equal to K Time's Q on Q two in absolute value signs over R squared, and at this point, it's a simple, like a jug. So K is equal to 8.99 times 10 to the nine, and this is Newton meters squared over, cooler on squared. And when most winning this bike, you want Q, too. So we have 3.0 times, 10 to the native six Ghoulam's that's going to squared since Q on Q two of the same. The absolute values go away. Since you want cute, you're above positive and 0.2 meters squared, and so you will see these cool long squared. We'll cancel with ease. Golan squared this meter, square canceled. That meter squared and we'll be left with just Nunes, which is what we want. And we end up getting 2.2 names. And so there's a repulsive force of 2.2 Noone's on both the charges away from one another, and that's final.

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