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$\bullet$ (a) What must the charge (sign and magnitude) of a 1.45 $\mathrm{g}$particle be for it to remain balanced against gravity whenplaced in a downward-directed electric field of magnitude650 $\mathrm{N} / \mathrm{C}^{?}$ (b) What is the magnitude of an electric field inwhich the electric force it exerts on a proton is equal in magni-tude to the proton's weight?

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Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

University of Washington

Simon Fraser University

Hope College

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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(a) What must the charge (…

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08:59

01:19

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What must the charge (sign…

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Earth has a net charge th…

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Earth has a net charge tha…

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What are the magnitude and…

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What are the strength and …

and this problem. We have the force of gravity pulling the electrical charge down, and we have the electrical force having the balance that by pushing it aboard. But we know the electric field is also pointing downward. And so what this tells us is that this queue here is negatively charged. If it was positively charged, then the electrical force here would be downward. Since the electric field tells you where the forces pointed for positively charged particles, you want to play in the opposite direction to electric field, so we need you to be negative. Now. Balance of forces here tells us that they also validate you. Time Z is equal to times G here. I'm just leaving Q and the asset value, and then we'll add the mindset, the very end. This tells us that the House of Dr Q is equal to mg overeat and then playing in all of these things, which they tell us in the problem. We get 2.19 times 10 to the nice five cool ums, and so Q is actually negative. 2.19 time stands in line five rooms, and that's the answer to part it in part B. We need to do a balance of forces again, and so will have killed G, which is the gravitational force. And this is being balanced by the electrical force, which is the charge in this case we have just a proton e times, the electric field. And so since we know the charge in this case, we're actually gonna solve for the electrical field, which gives us this. And then we can plug in everything known here. We do that we get 1.2 times 10 to the minus seven and the units on electric field or noons per Coolum. And that's the answer to part me.

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