Solution Found!
Solved: (a) In a certain region of space, the volume
Chapter 22, Problem 15DQ(choose chapter or problem)
Problem 15DQ
(a) In a certain region of space, the volume charge density \(\rho\) has a uniform positive value. Can \(\vec{E}\) be uniform in this region? Explain. (b) Suppose that in this region of uniform positive \(\rho\) there is a “bubble” within which \(\rho=0\). Can \(\vec{E}\) be uniform within this bubble? Explain.
Equation Transcription:
Text Transcription:
Rho
Vector E
Rho
rho=0
Vector E
Questions & Answers
QUESTION:
Problem 15DQ
(a) In a certain region of space, the volume charge density \(\rho\) has a uniform positive value. Can \(\vec{E}\) be uniform in this region? Explain. (b) Suppose that in this region of uniform positive \(\rho\) there is a “bubble” within which \(\rho=0\). Can \(\vec{E}\) be uniform within this bubble? Explain.
Equation Transcription:
Text Transcription:
Rho
Vector E
Rho
rho=0
Vector E
ANSWER:
Solution 15DQ
Step 1 of 3:
(a) In a certain region of space, the volume charge density ρ has a uniform positive value. Can be uniform in this region? Explain.
The electric field lines of a uniform electric field are equally spaced in same direction. Thus, if we place any closed surface in such a region of uniform electric field, the net electric flux through the surface will be zero. As flux depends on field lines, the number of lines entering the closed surface is equal to the number of field lines leaving the surface.