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Electric Potential and Conservative Fields

This lecture discusses the concept of electric potential and its relationship with conservative fields in the study of electricity and magnetism. The lecture covers topics such as constant electric fields, the electric potential of a single charge and dipole, and deriving expressions for electric fields based on potential functions.

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Electric Potential and Conservative Fields

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  1. Electricity and Magnetism Physics 208 Dr. Tatiana Erukhimova Lecture 8

  2. - conservative? potential energy function? Chapter 3. Electric Potential • Constant electric field • The Electric Potential: V - Single Charge - Dipole

  3. For a point charge at the origin:

  4. Ch3 Quiz 1 Last name ___________________ First name______________________ Section number______ There is an electric field given by where E0 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?

  5. Ch3 Quiz 2 Last name ___________________ First 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?

  6. 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?

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

  8. 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.

  9. 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?

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

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