a. Calculate the potential difference V, - Va due to the infinite rod of uniform charge density A, as shown below. Perform this calculation by directly integrating the electric field over a path between a and b. b. Calculate the potential difference V, – Va due to the rod of length L and uniform charge density A, as shown below. Perform this calculation by calculating V, and V, directly from the charge distribution and subtracting. b: -L/2 L/2→ c. Show that your answer to part b matches your answer to part a in the limit L → 00.

a. Calculate the potential difference V, - Va due to the infinite rod of uniform charge density A, as shown below. Perform this calculation by directly integrating the electric field over a path between a and b. b. Calculate the potential difference V, – Va due to the rod of length L and uniform charge density A, as shown below. Perform this calculation by calculating V, and V, directly from the charge distribution and subtracting. b: -L/2 L/2→ c. Show that your answer to part b matches your answer to part a in the limit L → 00.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 54P: (a) Plot the potential of a uniformly charged 1-m rod with 1 C/m charge as a function of the...

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Solve both

a. Calculate the potential difference V, - Va due to the infinite rod of uniform charge density A, as shown
below. Perform this calculation by directly integrating the electric field over a path between a and b.
b. Calculate the potential difference V, – Va due to the rod of length L and uniform charge density A, as shown
below. Perform this calculation by calculating V, and V, directly from the charge distribution and subtracting.
b:
-L/2 L/2→
c. Show that your answer to part b matches your answer to part a in the limit L → 00.

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