Solved: A long line carrying a uniform linear charge

Chapter 22, Problem 38P

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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.

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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.

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