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Solved: A long line carrying a uniform linear charge
Chapter 22, Problem 38P(choose chapter or problem)
Problem 38P
A long line carrying a uniform linear charge density +50.0 µC/m runs parallel to and 10.0 cm from the surface of a large, flat plastic sheet that has a uniform surface charge density of -100 µC/m2 on one side. Find the location of all points where an α particle would feel no force due to this arrangement of charged objects.
Questions & Answers
QUESTION:
Problem 38P
A long line carrying a uniform linear charge density +50.0 µC/m runs parallel to and 10.0 cm from the surface of a large, flat plastic sheet that has a uniform surface charge density of -100 µC/m2 on one side. Find the location of all points where an α particle would feel no force due to this arrangement of charged objects.
ANSWER:
Introduction
We have to calculate the point where the electric field will be zero.
Step 1
The electric field at a distance is given by
Where is the linear charge density.
Now the electric field due uniformly charged infinite sheet at a distance from the sheet is given by
Here is the surface charge density.