AT Cycle 19

1/4 - 1/9

W 1/4

Th 1/5

F 1/6

M 1/9

πŸ”΄ 2: Th 1/5a, 🟑 4: W 1/4 - electric potential path integral (3)

Today, we'll continue working on electrostatics problems to review finding both electric field and potential.

Required: 1979E1, 2000E2, 1994E1, 1993E1, 1989E1, 1980E2
Enrichment: Find old AP problems in the resources I provided in Google Classroom. There is at least one electrostatics problem from every year of past AP problems.

Homework: The above set of problems is due to ✏️ Google Classroom on for pd 4 on Wednesday, January 4th at 10pm and for pd 2 on Thursday, January 5th at 9am. QUIZ on Electric Potential with both integral and path integral (no equipotential lines) Thursday, January 5th! Check out the Circuits Review Videos in preparation for the next unit which we will start the second week of January.

πŸŸ₯❗ 2: Th 1/5b, πŸŸ¨β— 4: Th 1/5 - equipotential lines lab (1)

QUIZ on Electric Potential with both integral and path integral (no equipotential lines) TODAY!

Today, we'll learn how to draw equipotential lines with a lab. We'll continue with the lab next hour.

Virtual Lab Option: If you are absent or miss the lab for some reason, do the following alternative lab. Read the instructions for the equipotential lines lab, and complete the questions in the ✏️ Google Classroom assignment, which will require you to screenshot your work, posting it on a Jamboard, and then drawing electric field lines overtop.

Homework: The equipotential lab is due Monday, January 9th at 10pm.

❀️ 2: F 1/6, πŸ’› 4: M 1/9a - equipotential lines lab (2)

Today, we'll finish up the equipotential lab. Then, we'll do 2005E1 and make sure that you understand the relationship between equipotential lines and electric field lines. With any remaining time, try finding some AP practice problems.

Homework: Electrostatics Assessment Wednesday, January 11th! The equipotential lab is due tonight at 10pm. THINK ABOUT THIS: If you can calculate V by integrating E, can't you find E by taking the derivative of V? Kind of, but the problem is that E is a vector, so how do we get a vector from a scalar? First, for a conceptual explanation, check out the video below. Then, read section 24-6 on page 701-702 in your textbook, and work through Sample Problem 24.05. For some good practice, you may want to derive the expression for the electric potential at any point on the central axis of a uniformly charged disk. Additionally, make sure to think about why Ex and Ey are zero. Using the gradient method E=-βˆ‡V is a cool different way of finding the electric field. In a lot of ways it's easier than the electric field integral, since you don't have to ever deal with component geometry. Check it out!

πŸ“• 2: M 1/9, πŸ“’ 4: M 1/9b - electric field gradient

Today, we'll review getting the electric field with the gradient of the potential E=-βˆ‡V . We'll do an example together. With any time remaining, we'll practice additional electrostatics AP problems. Look in Google Classroom for additional posted problems.

To think about the whole unit, here are the topics in electrostatics we have studied:

  • Coulomb's Law

  • Finding electric field

    • E = F/q

    • electric field integral (superposition of dq)

    • Gauss's Law

  • Electric potential energy of a configuration of charges

  • Finding electric potential

    • potential integral (superposition of dq)

    • Path integral if we know electric field (compatible with Gauss's Law)

  • Calculating field and potential due to non-uniform charge distributions (integrals)

You may watch a review video here:

Homework: Electrostatics Assessment Wednesday, January 11th! Finish any required problems that you did not finish. Find other problems from old AP exams. There is at least one electrostatics question every year.