Electric Flux Video Lessons

Video Thumbnail

Concept

Problem: The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E= λ/2πε(0). Consider an imaginary cylinder with a radius of r = 0.145 m and a length of l = 0.405 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ= 4.00 μC/m.1. What is the electric flux through the cylinder due to this infinite line of charge? ( φ= ? N•m2/C)2. What is the flux through the cylinder if its radius is increased to r = 0.585 m ? ( φ= ? N•m2/C)3.  What is the flux through the cylinder if its length is increased to l = 0.800 m ? ( φ= ? N•m2/C)

FREE Expert Solution

Gauss law:

φ=qencε0

1.

Flux through the cylinder,

φ = qenc0 = λL/ε0

View Complete Written Solution
Problem Details

The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E= λ/2πε(0). Consider an imaginary cylinder with a radius of r = 0.145 m and a length of l = 0.405 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ= 4.00 μC/m.

1. What is the electric flux through the cylinder due to this infinite line of charge? ( φ= ? N•m2/C)

2. What is the flux through the cylinder if its radius is increased to r = 0.585 m ? ( φ= ? N•m2/C)

3.  What is the flux through the cylinder if its length is increased to l = 0.800 m ? ( φ= ? N•m2/C)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Flux concept. You can view video lessons to learn Electric Flux. Or if you need more Electric Flux practice, you can also practice Electric Flux practice problems.