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Two point charges $q_{1}=$ $+2.40 \mathrm{nC}$ and $q_{2}=-6.50 \mathrm{nC}$ are 0.100 $\mathrm{m}$ apart. Point $A$ is midway between them; point $B$ is 0.080 $\mathrm{m}$ from $q_{1}$ and 0.060 m from $q_{2}$ . (See Figure $18.41 .$ ) Take the electric potential to be zero at infinity. Find (a) the potential at point $A ;(b)$ the potental at point $B ;(c)$ the work done by theelectric field on a charge of 2.50 $\mathrm{nC}$ that travels from point $B$ to point $A .$

a) $V_{A}=-737.1 \mathrm{V}$b) $V_{B}=-704.02 \mathrm{V}$c) $8.27 \times 10^{-8} \mathrm{J}$

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

University of Washington

Hope College

University of Sheffield

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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Two point charges $q_{1}=+…

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Two point charges $q_{1}=$…

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it's custom we have this configuration as Joan is a plot. We have a positive church off 2.4 dental. Ah, Nana Colon. And we have a negative charge that is elective 6.5 minute Colin. And we have point A and point B is can be seen from Graff. So we want, you know, support the potential between a and put a interpretation, put B and the potential difference between sometimes and from Zep retention difference. What we can find is the work done on a church where it moves frumpy trait. So in section three, Section three of of Chapter 18 what we learned inside so potential of different of At a certain point, there's a superposition of the potential cost by or different sources. So say the protection and a It will be a some off the potential cost Buy balsa points to a church in collective charge. So I have the equals K Q one over r, um, are a cost. I won because this's just for Miller for as a protection to tricycle charge just take you to over our a caused by too. Okay, so K is Larry Times Tent is nice Mitre Square, Coolum Square are s a R v i R E mine. Alright, you are actually the same. It's the same distance is always a point of 05 meter. So I will combine these two numbers and finally que um, ask you to is 2.4 times 10 to the negative sign of cool. Um minus 6.5 can times 10 to the next nine and 1/4 just gives me a value of negative seven, hundreds of 30 still votes. So it's very natural. Concert is to be expected because both charges are the same distance away from eight but selective charges much more negative than positive church. So the total potential will be inactive. And this look att p b we have it's the same scene and we also have kinky one over are a one plus cakey R B one. Ask a cue to over our Peter nausea off different distances. So now I can't just simply put the same denominator. I have to use different denominators. I still have nine times 10 to the Knights and cue one over R B one is 2.5 times 10 to the and to flank them. Two by two by 0.8 Bender minus 6.50 times. Tent is nice. Colin, over 7.60 meters. Says skips a selective 704 votes. Okay, um great. Now we look at Proceeded. Asks us what isthe Ah, work down. If we want to have a charge of 2.5 Coolum symbols from B to A. So the work is charged hunks of potential difference. And the charge is 2.50 times 10 to the negative light Colin. And so potential is there active Silvano Four votes minus Conectiv threesome. 73 seven votes. And this gives us 8.2 times. Tent is elective eight. Just so. That is the work done by the electric field as a charge where travels from point B to point a

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