# AT Cycle 18

## 12/20 - 1/2

W 12/20

Th 12/21

F 12/22

half day

T 1/2

JUMP TO LESSON:

### 🔴 2: Th 12/21a, 🟡 4: W 12/20, 🔵7: W 12/20 - electric potential path integral (1)

Daily Check-in: Finding potential with path integral

After the daily check-in, 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 Friday, December 22nd at 12:05pm. Try to finish the first three of these by next class. Electrostatics Assessment Thursday, January 4th! Check out the Circuits Review Videos in preparation for the next unit which we will start the first week of January.

### 🟥❗ 2: Th 12/21b, 🟨❗ 4: Th 12/21, 🟦❗ 7: Th 12/21a - electric potential path integral (2)

Quiz Today on Gauss's Law.

After the quiz, 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 Friday, December 22nd at 12:05pm. Remember if you work diligently, you should be able to finish most of this in class. I would recommend finishing the rest tonight before break so you don't have much if any to do on Tuesday, January 2nd. Electrostatics Assessment Thursday, January 4th! Check out the Circuits Review Videos in preparation for the next unit which we will start the first week of January.

Pd 4: ❄️⛄❄️ ENJOY YOUR BREAK!!! ❄️⛄❄️

### ❤️ 2: F 12/22*, 💛 4: T 1/2a, 💙7: Th 12/21b - equipotential lines lab

Pd 1 7:40-8:12 (32)

Pd 2 8:17-8:49 (32)

Pd 3 8:54-9:26 (32)

Pd 5 9:31-10:03 (32)

Pd 6 10:08-10:40 (32)

Pd 7 10:45-11:20 (35)

Pep Rally 11:25-12:05

Today, we'll learn how to draw equipotential lines with a lab. Then, we'll do 2005E1 and make sure that you understand the relationship between equipotential lines and electric field lines.

Homework: The equipotential lab is due in class today, but I will give you until Wednesday, January 3rd at 10pm to upload it to ✏️ Google Classroom. The electric potential energy & potential AP problems are due to ✏️ Google Classroom on Friday, December 22nd at 12:05pm. Electrostatics Assessment Thursday, January 4th! Check out the Circuits Review Videos in preparation for the next unit which we will start the first week of January.

Pd 2: ❄️⛄❄️ ENJOY YOUR BREAK!!! ❄️⛄❄️

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=-∇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!

### 📕 2: T 1/2, 📒 4: T 1/2b, 📘7: F 12/22* - electric field gradient

Pd 1 7:40-8:12 (32)

Pd 2 8:17-8:49 (32)

Pd 3 8:54-9:26 (32)

Pd 5 9:31-10:03 (32)

Pd 6 10:08-10:40 (32)

Pd 7 10:45-11:20 (35)

Pep Rally 11:25-12:05

Today, we'll review getting the electric field with the gradient of the potential E=-∇V . We'll do an example together. With any time remaining, we'll practice additional electrostatics AP problems. (See Google Classroom.)

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 Thursday, January 4th! To study, find other problems from old AP exams. There is at least one electrostatics question every year. Next lesson (class before the test) will be a study period. Check out the Circuits Review Videos in preparation for the next unit which we will start the first week of January.

Pd 7: ❄️⛄❄️ ENJOY YOUR BREAK!!! ❄️⛄❄️