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Two oppositely charged identical insulating spheres, each 50.0 $\mathrm{cm}$ in diameter and carrying a uniform charge of magnitude $175 \mu \mathrm{C},$ are placed 1.00 $\mathrm{m}$ apart center to center Fig. 18.53 ). (a) If a voltmeter is connected between the nearest points $(a$ and $b)$ on their surfaces, what will it read? (b) Which point, $a$ or $b,$ is at the higher potential? How can you know this without any calculations?

a) $-8.38 \times 10^{6} \mathrm{V}$b) point (a) has higher potential

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

University of Washington

Hope College

University of Winnipeg

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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is this question we hold to hiss fears that is equal but with pop quiz day, active charges. So I will call this fierce raid. His are the analysis has positive. Cute. It's his has no active cute and they're separated by a distance of the Now what happens is because his point a sayspoint b and I have a vote leader because that connects state and B. And I want to know what numbers is for Peter Gibby. So we're really, really important. See, in this country is at thiss. Fears are insulated is fierce. What does that mean? Is that for a conductive view, we would expect that that you tal sphere will be at the same potential. But that's not true for his legs. Fear for his life, His fear say the potential here will be very different firms reputation here because charge do not flow on this lady's fear. Was that also base? Is that in order to find the potential off point? A. You should not. It is Technically I was here, but you should also just treated as if it's oh treated its potential as a just a simple superposition. Off this point, charge and this plate church, which is not true for conducting sphere for conducting sphere task Fear We're actually shura, say potential, because due to Z as a charge, so some was, well, complicated. But here because it's an insulated sphere, it just brute force. Lee five's a potential due to the posture as an active charge you and you add some together, so we'll give you the protection at point A. You do the same for the potential. Could be abuse of tracks and sank. Use you the potential difference, which is what a Civil Peter will tell you. But enough of talking. It's jumped into action to use this question. So for so potentially at a dude who's this positive charge? Is Kay Hue over her? Because this is our So this point supposed asses a potential of a two tooth sis is kick you over our and it's a potential and quit a dude who's objective charge. Is this whole justice because this is s d. This isn t so a to Z sit over. This fear is t minus. Are so I said potential edge a duty is adaptive. Charges active kick you over the minus R on DH. Same with Phoebe. Any plus equals cake. You over T minus R and fi B minuses. PT turns his church equals lactic kick you over, so I know how to find the difference. So, Delta V Because feed a VP so that isthe cake you over Sylvia is and cease together one over our mind. A squabble over a bet us are Subtract Phoebe BP. Is this addition sister a swell over t fight us. Are I despondent over her? Okay, so this is actually equal to to take you over. Well, over our minus one over de Medicis are quit. So now we actually look at the history. It has given us a bunch of numbers and we pluck off some eat delta v equals, um, two times. Do you click you for over Arvin Sloane over TV star. He was two times I tense tuned to Z. Uh, thank you, Teo Teo accusing eyes into ze dice. Time's Q is 1 75 times Tent is our active six coolant times one divided by our is 50 centimetres. A 0.50 leader on us. He is one meter. So it's 1.0 by zero point 5/3 another. Okay. Ah, you mean the world Checco. Sorry, it's 50 50. Is that an eager? So syringes is actually a 0.25 Okay, so we actually have well over his import to five minus one over. Well, mine is so quick to five, okay. And, sir, unit should be vote. So, Chris, by looking at us, we see that it's should be a positive number because well, over there, put 25 is going to be loggers and well preserved. 2.75 And indeed, see, actual answer we get is eight times 40. It put 40 times two to the sex falls. That's actually that's a lot. That's eight U V. Empty it for Sarah and people. Okay, so that is what this Fort Meade and well read Question two says which went A or B is at higher potential, of course, is at higher potential because, firstly, this is a positive number and second is just a It's much closer to your positive charge, said B s. So you can expect that if we put a detective started, ever put a positive charge and a it will definitely move towards the direction of a bee so, like a is at a higher potentials and B

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