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Ch3 Quiz 1 First name ______________________ Last name ___________________ Section number ______ There is an electric field given by where E 0 is a constant.

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Presentation on theme: "Ch3 Quiz 1 First name ______________________ Last name ___________________ Section number ______ There is an electric field given by where E 0 is a constant."— Presentation transcript:

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2 Ch3 Quiz 1 First name ______________________ Last name ___________________ Section number ______ There is an electric field given by where E 0 is a constant. What is the difference in the value of the electric potential due to this electric field between the origin and the point x=a, y=b?

3 Ch3 Quiz 3 There is an electric field created by some source at the origin given by where c is a constant and r is the distance from the origin; points out from the origin. What is the difference in the value of the electric potential due to this electric field between the point x=a, y=b and the point at infinity? What is the potential function corresponding to this electric field if instead of being at the origin the source of the electric field is at point x=a, y=b?

4 Ch3 Quiz 2 First name ______________________ Last name ___________________ Section number ______ There is an electric field given by where  and  are constants. What is the difference in the value of the electric potential due to this electric field between the origin and the point x=a, y=b?

5 In electrostatics: If we know V(x,y) we can find the components of electric field and In electrostatics, the electric field is conservative:

6 1)The electric potential V in a region of space is given by where A is a constant. Derive an expression for the electric field at any point in this region. 2)The electric potential V in a region of space is given by where c is a constant. The source of the field is at the origin. Derive an expression for the electric field at any point in this region.

7 Exercise 5 p. 52 An electron moves from one point to another where the second point has a larger value of the electric potential by 5 volts. If the initial velocity was zero, how fast will the electron be going at the second point?

8 Electric potential V is a scalar!

9 An old rule of thumb: you have to study 2-3 hours a week outside the class per each credit hour

10 Electric field lines These are fictitious lines we sketch which point in the direction of the electric field. 1) The direction of at any point is tangent to the line of force at that point. 2) The density of lines of force in any region is proportional to the magnitude of in that region Lines never cross.

11 Density is the number of lines going through an area (N) divided by the size of the area For a charge q located at the origin It is important that the force is proportional to

12 Gauss’s Law The total flux of electric field out of any closed surface is equal to the charge contained inside the surface divided by.

13 What is or flux of any vector, e.g. velocity of a water flow? Consider a flow with a velocity vector. Let S be a small area perpendicular to. a) The volume of water flowing through S per unit time is S a) b) Now S is tilted with respect to. The volume of water flowing through S per unit time is n S b) Area vector is the angle between velocity vector and unit vector normal to the surface S. Flux:

14 S S Flux of electric field

15 Hw quiz Suppose Coulomb’s Law for the force between charges and was with some constant. Find the potential function corresponding to such a force and the electric potential function.

16 Have a great day! Please don’t forget your pictures Hw: All Chapter 3 problems and exercises Reading: Chapter 3


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