Gauss' Law with Calculus Video Lessons

Video Thumbnail

Concept

Problem: An infinite line of charge with linear density λ1 = 8.8 µC/m is positioned along the axis of a thick insulating shell of inner radius a = 2 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = 688 µC/m3.1) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 7.4 cm along the y-axis from the line of charge? Given that linear charge density of the insulating shell, λ2 = 2.769 × 10-6 C/m3.2) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1 cm along a line that makes an angle of 30o with the x-axis?

FREE Expert Solution

1)

Ey(P) = (λ1 + λ2)/(2πrε0)

View Complete Written Solution
Problem Details

An infinite line of charge with linear density λ1 = 8.8 µC/m is positioned along the axis of a thick insulating shell of inner radius a = 2 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = 688 µC/m3.

1) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 7.4 cm along the y-axis from the line of charge? Given that linear charge density of the insulating shell, λ2 = 2.769 × 10-6 C/m3.

2) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1 cm along a line that makes an angle of 30o with the x-axis?

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 Gauss' Law with Calculus concept. You can view video lessons to learn Gauss' Law with Calculus. Or if you need more Gauss' Law with Calculus practice, you can also practice Gauss' Law with Calculus practice problems.