Gauss' Law with Calculus Video Lessons

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# 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 λ2, the linear charge density of the insulating shell?2) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 7.4 cm along the y-axis from the line of charge?

###### FREE Expert Solution

Linear charge density:

$\overline{){\mathbf{\lambda }}{\mathbf{=}}{\mathbf{\rho }}{\mathbf{A}}}$

1)

The linear charge density, λ2 = ρ[(π)(b2 - a2)]

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###### 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 λ2, the linear charge density of the insulating shell?

2) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 7.4 cm along the y-axis from the line of charge?