1. Electric potential at point P due to two charges. A 2.0 x 10-9 C charge is placed on the y axis at y=0.005 m. An identical charge is placed on the y axis at y=-0.005 m. Calculate the total electric potential at x=0.02 m, y=0. Show the entire calculation, including a diagram of the two charges.

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PHY 252 Lab: Calculating electric potential of charge distributions
1. Electric potential at point P due to two charges. A 2.0 x 10-⁹ C charge
is placed on the y axis at y=0.005 m. An identical charge is placed on the y
axis at y=-0.005 m. Calculate the total electric potential at x=0.02 m, y=0.
Show the entire calculation, including a diagram of the two charges.
2. Electric potential at point P due to a line of finite charges. A 0.01 m
long rod with a charge of 4.0 x 10-9 C uniformly distributed along its length
lies along the y axis. The center of the rod is at the origin. Use a
spreadsheet to perform a numerical calculation of the electric potential at
x=0.02 m, y=0 due to a line of 10 charged segments. Include in your report
the spreadsheet results as well as the properly labeled diagram with the
appropriate finite equations that you used in the spreadsheet.
3. Theoretical electric potential at point P due to a continuous line of
charges. A rod with a length L and a charge Q uniformly distributed along
its length lies along the y axis. The center of the rod is at the origin. Do a
theoretical calculation of the electric potential at point P that is on the x axis,
a distance "x" from the rod. Show all of the steps in the calculation.
Evaluate the theoretical result using the values r= .02 m, L = .01 m, and
Q = 4.0 x 10-⁹ C.
4. Compare the results obtained by 1, 2, and 3 above. Make a copy of your
spreadsheet from Step 2. Increase the number of charged segments used in
your spreadsheet calculation until the results match (to at least 6 significant
figures) the theoretical results. State the number of segments required.
Transcribed Image Text:PHY 252 Lab: Calculating electric potential of charge distributions 1. Electric potential at point P due to two charges. A 2.0 x 10-⁹ C charge is placed on the y axis at y=0.005 m. An identical charge is placed on the y axis at y=-0.005 m. Calculate the total electric potential at x=0.02 m, y=0. Show the entire calculation, including a diagram of the two charges. 2. Electric potential at point P due to a line of finite charges. A 0.01 m long rod with a charge of 4.0 x 10-9 C uniformly distributed along its length lies along the y axis. The center of the rod is at the origin. Use a spreadsheet to perform a numerical calculation of the electric potential at x=0.02 m, y=0 due to a line of 10 charged segments. Include in your report the spreadsheet results as well as the properly labeled diagram with the appropriate finite equations that you used in the spreadsheet. 3. Theoretical electric potential at point P due to a continuous line of charges. A rod with a length L and a charge Q uniformly distributed along its length lies along the y axis. The center of the rod is at the origin. Do a theoretical calculation of the electric potential at point P that is on the x axis, a distance "x" from the rod. Show all of the steps in the calculation. Evaluate the theoretical result using the values r= .02 m, L = .01 m, and Q = 4.0 x 10-⁹ C. 4. Compare the results obtained by 1, 2, and 3 above. Make a copy of your spreadsheet from Step 2. Increase the number of charged segments used in your spreadsheet calculation until the results match (to at least 6 significant figures) the theoretical results. State the number of segments required.
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