Electric Fields with Calculus Video Lessons

Concept

Problem: The sketch below represents a graph that shows the electric field strength (not the field lines) as a function of distance from the center for a pair of concentric uniformly charged spheres. Which of the following situations could the graph plausibly represent? A. a solid nonconducting sphere, uniformly charged throughout its volume, inside of a positively charged conducting sphereB. a positively charged nonconducting thin-walled spherical shell inside of a negatively charged conducting sphere C. a positively charged conducting sphere within an uncharged conducting sphere D. a positively charged conducting sphere within another positively charged conducting sphereE. a positively charged nonconducting thin-walled spherical shell inside of another positively charged nonconducting thin-walled spherical shell

FREE Expert Solution

The graph has regions where the electric field is zero.

Using Gauss law:

E•A = Qenc0

E = Qenc0A. This expression implies that the electric field will be zero if the net charge enclosed is zero.

Besides, the electric field inside a conducting material is zero.

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Problem Details

The sketch below represents a graph that shows the electric field strength (not the field lines) as a function of distance from the center for a pair of concentric uniformly charged spheres. Which of the following situations could the graph plausibly represent?

A. a solid nonconducting sphere, uniformly charged throughout its volume, inside of a positively charged conducting sphere

B. a positively charged nonconducting thin-walled spherical shell inside of a negatively charged conducting sphere

C. a positively charged conducting sphere within an uncharged conducting sphere

D. a positively charged conducting sphere within another positively charged conducting sphere

E. a positively charged nonconducting thin-walled spherical shell inside of another positively charged nonconducting thin-walled spherical shell