may the flux be with you gausss law 3.2 is that the finger???

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MAY THE FLUX BE WITH YOU Gauss’s Law 3.2 Is that the finger???

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Page 1: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

MAY THE FLUX BE WITH YOU

Gauss’s Law3.2

Is that the finger???

Page 2: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Happenings

Wednesday – You should be finished with the Electric Field and today we start Gauss’s Law

Friday – Yup, more Gauss and, oh yes, a QUIZ! Watch for a new WA on Gauss to appear

suddenly.

Monday … Gauss should be history so on to new stuff. (Sorry)

Page 3: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

What is the electric field at the center of the square array?

Page 4: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

A rigid electric dipole is free to move in the electric field represented in the figure.Which one of the following phrases most accurately describes the initial motion of the dipole if it is released from rest in the position shown?

A) It moves to the left.B) It moves to the right.C) It does not move at all.D) It moves toward to the top of the page.E) It moves toward the bottom of the page.

A Bit Tricky!

Page 5: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Consider the drawing, where the solid lines with arrows represent the electric field due to the charged object. An electron is placed at the point P and released at rest. Which of the following vectors represents the direction of the force, if any, on the electron?

Page 6: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Which One Of These Is Possible?

Page 7: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Gauss’s Law

Page 8: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Let’s ask some questions of ourselves

Given a distribution of charges can we figure out the Electric Field at a point in space? Yes … just add the effects of each charge (kq/d2)

OK. How about the other direction – can we determine the distribution of charges if we know the Electric Field at a number of places. Sometimes. This is the topic that Gauss

addressed and his answer, a mathematical theorem, is quite important in solving a certain class of problems.

Let’s take a look…..

Page 9: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Last time

We can use a vector to represent a small flat area: It’s length is proportional to the area. Its direction is perpendicular to the area The area need not be square, round or

anything else. It must be small. Very small. Teeny Tiny small.

There is an ambiguity in which of two ways the vector can point for a particular small area.

Page 10: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

What would you guess is inside the cube?

Page 11: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

What about now?

Page 12: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

How about this??

A. Positive point charge

B. Negative point charge

C. Large Sheet of charge

D. No chargeE. You can’t tell from

this

Page 13: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

FLUXHow Much Stuff Is There?

Page 14: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

An object entering a solid region is the same thing as a negative object leaving!

Think about this…..

A Strange Statement

Page 15: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Sphere

Light Bulb EmittingN Photons per sec.

How many photons leave the sphere each

second?

Page 16: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Sphere

Light Bulb EmittingN Photons per sec.

How many photons leave the sphere each

second?

Page 17: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

Sphere

Light Bulb EmittingN Photons per sec.

How many photons leave the sphere each

second?

Page 18: MAY THE FLUX BE WITH YOU Gausss Law 3.2 Is that the finger???

This was a brief intro to Gauss’s Law. Now ..

START YOUR UNITS (on G’s Law …)