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$\bullet$$\bullet$ Three point charges are arranged along the $x$ axis. Charge$q_{1}=-4.50 \mathrm{nC}$ is located at $x=0.200 \mathrm{m},$ and charge$q_{2}=+2.50 \mathrm{nC}$ is at $x=-0.300 \mathrm{m} .$ A positive point charge $q_{3}$is located at the origin. (a) What must the value of $q_{3}$ be for thenet force on this point charge to have magnitude 4.00$\mu \mathrm{N} ?$(b) What is the direction of the net force on $q_{3} ?$ (c) Wherealong the $x$ axis can $q_{3}$ be placed and the net force on it bezero, other than the trivial answers of $x=+\infty$ and $x=-\infty$ ?

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a) $q_{3}=3.1727 \times 10^{-9} C$b) the direction of the net force is in the positive $x$ directionc) $x=-1.463 m-0.3 m=-1.7635 m$

Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser 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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Three point charges are ar…

06:38

1) Three point charges are…

05:49

02:33

$\bullet$$\bullet$ Two poi…

08:17

A charge $q_{1}=+5.00 \mat…

19:15

05:11

A charge $q_1 = +$5.00 nC …

05:26

01:43

Two point charges are plac…

problem number 65. In this problem, it is given that there are three charges on the X axis. The first charge, Q one it is Neither do I. And is that 0.2 meters Funda Bless XX is the second charge you do is positive in nature. And is that zero porn? Three meters on the negative? XX is that star chart. You three is also positive and lizard the origin. Now we know that the opposite charges attract each other, so the force on charge Q three bye charge Cuban is towards right. This is everyone and same charges repel each other, so force on charge Q three by charge Q two is also in the right direction. This is force have to. So the net force on the charge Q three is in the boss too ex direction. Now we are given that the Net force on Charge Q three is for Micro Newtons, so we can write four. Micro mutants is equal to everyone. Less have to that given going to decide. Q one is equal to minus 4.5 nano columns. Youto is equal to unless 2.5 nano columns and we have to find the magnitude off. Judge you three so we can write four in tow. 10 to the power minus six is equal to okay. Gay school ums Constant kyu won you three bye 0.2 squared less Okay, your toe. Cute three by zero point three square Now substituting the values we get nine into 10 to the power nine indoor 415 into 10 Toe the power minus Stein You three bye 0.2 the square plus nine into 10 to the power nine Indo 2.5 into 10 to the power minus nine. Cute three. Bye 0.3 You square this force Some is equal to foreign to 10 to about minus six Now, when we saw this, we will get the magnitude of charge Q three as 3.168 Indo and do the power My next nine. Cool abs This is done said float by. Hey, no For by we we have to find the position off charge Q three on the X axis when the net force on charge Q three is zero. So when that forces zero weekend, let Q three be at their position X meters on the X axis. Now we can do right have one is equal to F too. Us. Okay, you won. You're three. Bye X minus 0.2. Holy square is equal to okay. You too. Q three. Bye X plus zero porn three, Call it square. Canceling gay. Okay. From what shirts? And you three, You three. From what sites? We will get 4.5 by X minus 0.2. Foley Square is equal to 2.5. Why? X plus syrup on three. Holy square. When we saw this, we will get 1.3 416 is equal to X minus 0.2. It's bliss 0.3. Solving this, we will get X equal to my next one born 76 three meters. Thus, at a distance off 1.763 winters on the *** do XX Is the net force on the charge? Q three is zero

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