Question

A solid sphere of radius 40.0 cm has a total positive charge of 42.8 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (c) 40.0 cm from the center of the sphere (d) 61.5 cm from the center of the sphere

Name: a solid sphere of radius 400 cm has a total positive charge of 428 c uniformly distributed throughout its volume calculate the magnitude of the electric field at the following distances c 40 10857
Uploaded: 2023-03-08T18:10:21-08:00
Duration: 1 min 26 s
Channel: Timothy James
Description: a solid sphere of radius 400 cm has a total positive charge of 428 c uniformly distributed throughout its volume calculate the magnitude of the electric field at the following distances c 40 10857

          A solid sphere of radius 40.0 cm has a total positive charge of 42.8 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances.
(c) 40.0 cm from the center of the sphere
(d) 61.5 cm from the center of the sphere

Added by Darryl O.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

03/08/2023

Step 1

The volume of the sphere is given by: $V = \frac{4}{3}\pi r^3$ where $r = 40.0\,\text{cm} = 0.4\,\text{m}$. So, $V = \frac{4}{3}\pi (0.4)^3 = 0.268\,\text{m}^3$ The total charge is $Q = 42.8\,\text{µC} = 42.8 \times 10^{-6}\,\text{C}$. The charge density Show more…

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A solid sphere of radius 40.0 cm has a total positive charge of 42.8 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (c) 40.0 cm from the center of the sphere (d) 61.5 cm from the center of the sphere