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$\bullet$$\bullet$ The earth has a downward-directed electric field near itssurface of about 150 $\mathrm{N} / \mathrm{m}$ . If a raindrop with a diameter of0.020 $\mathrm{mm}$ is suspended, motionless, in this field, how manyexcess electrons must it have on its surface?

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$1.708 \times 10^{6}$ electrons

Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Rutgers, The State University of New Jersey

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.

02:38

The earth has a downward-d…

03:36

A water droplet of radius …

03:19

03:03

03:12

'ConstantsThe ear…

02:14

02:25

A spherical water droplet …

04:03

The Earth is surrounded by…

02:30

There is an electric field…

02:21

A proton is suspended in …

02:42

A spherical water drop 1.2…

02:07

03:41

A solid metal sphere with …

03:24

02:24

A sphere the size of the …

01:18

In fair weather, over flat…

01:48

(I) The Earth possesses an…

problem Number 73 in this problem, it is given that get is in electric field off directed downwards and are negatively charged. Raindrop is hanging in the air, the ve it off the raindrop ex downwards and the four studio electric field of the earth. Eggs upwards, the electric force and the weight of gravity are equal. So the raindrop is hanging in the middle of the air. Do do the electric field. The charge on the raindrop is negative. And since we know that electric field points from boss too to negate it so raindrop will be attracted. The world stop was to charge, which is against the electric field. The electric force is upwards on the the rain drop So but given electric field is e equals 1 50 new done. But Ghoulam's and the radius off the drop is given us our equals 0.1 millimeters and we know the density off Water is ro equals 1000 Cagey, but meet that cube for the kill room. Off the raindrop, we can write f vehicles mg V l f is the electric force on the rain drop. This force is equal to that No charge on the then dropped and the electric field off. The art is equal to the muss off the then drop and the ex solution off the gravity. Now we can write disk you into 1 50 Newton four columns is equal to density off raindrop in tow. The volume off the raindrop which is equal to the volume office Fear for by three by on you in tow X elation due to gravity 9.8 meters. Our second is square now subjecting the always lose We get que in tow 1 50 kg me does. But who Coolum second is square is equal to 1000 kg. What meter Cube in tow for by three. Bye zero point. See Rove one into 10 to the power minus three Q. We took you in tow. 9.8. Meet that What? Second Esquire. Solving all this we get Q equals through 73 point five into 10. So the power minus 15 Ghoulam's. Now we know that charge on one electron is equal to 1.6 into 10 to the power minus 19 columns. So number off electrons can be opened as n equals total charge on the then drop divided by charge on one electron. This will give us number off electrons and equal to one 0.71 into 10 to the power six electrons. This is the final answer in the in the relation which we have open with you in the force and wait out the rain drop. The conversion of units is very important, so we should substitute the unit's very carefully.

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