# An infinitely long cylinder is uniformly charged with a volume density of 4 C/m3. The cylinder...

## Question:

An infinitely long cylinder is uniformly charged with a volume density of 4 C/m{eq}^3 {/eq}. The cylinder has a radius of 5 cm.

a. What happens if the distance from the axis is less than the radius?

b. Calculate the electric field at a point 0.2 cm from the axis of the infinite cylinder.

c. If instead of having a finite radius, the cylinder were an infinite line of charge with the same effective linear charge density as the above cylinder, calculate the electric field at a distance of 8 m from the line of charge. Use a positive sign for the answer if the electric field points radially outward and vice versa.

## Charge Density:

The measure of the number of movable charges that can transport over a specified dimension is referred to as the charge density. If it is concerned about charge over length, then it will be referred to as linear charge density and similar for surface charge density and volume charge density.

## Answer and Explanation:

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**Given data**

- The volume density of the charge is: {eq}\rho = 4\;{\rm{C/}}{{\rm{m}}^{\rm{3}}}{/eq}

- The cylinder has the radius is; {eq}r =...

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Chapter 17 / Lesson 8In this lesson, you will be introduced to electric fields so that you can practice calculating single fields, multiple fields, and electric fields in charged spheres. You'll also learn how Faraday cages work.