Question

A thin, metallic spherical shell of radius 0.227 m has a total charge of 6.03 × 10 − 6 C placed on it.

A point charge of 1.15 × 10 − 6 C is placed at the center of the shell.

What is the electric field magnitude E a distance 0.735 m from the center of the spherical shell?

Answer 1

Step-by-step explanation:

Given

radius
`r=0.227 m`

Charge on surface
`Q=6.03* 10^(-6) C`

Point Charge inside sphere
`q=1.15* 10^(-6) C`

Electric Field at
`r=0.735 m`

Treating Surface charge as Point charge and applying Gauss law

`E_(total)A=(q_(enclosed))/(\epsilon _0)`

where A=surface area up to distance r

`E_(total)=(Q+q)/(4\pi r^2)`

`E_(total)=(6.03* 10^(-6)+1.15* 10^(-6))/(4\pi (0.735)^2* 8.85* 10^(-12))`

`E_(total)=1.194* 10^(5) N/C`