Question

A cylindrical shell of length 220 m and radius 4 cm carries a uniform surface charge density of σ = 14 nC/m^2.

1. What is the total charge on the shell?

Answer 1

Step-by-step explanation:

Given

Length of shell
`L=220\ m`

radius of cylindrical shell
`r=4\ cm`

surface charge density
`\sigma =14\ nC/m^2`

Total charge on the shell
`Q=surface\ area* surface\ charge\ density`

surface area
`A=2\pi r\cdot L=2\pi \cdot 0.04\cdot 220=55.299\ m^2`

`Q=\sigma \cdor A`

`Q=14* 10^(-9)* 55.299`

`Q=7.741* 10^(-7)\ C`