Question

A sphere of radius r = 5cm carries a uniform volume charge density rho = 400 nC/m^3. Q. What is the total charge Q of the sphere?

Answer 1

The total charge Q of the sphere is
`2.094*10^(-10)\ C`.

Step-by-step explanation:

Given that,

Radius = 5 cm

Charge density
`J= 400\ nC/m^3`

We need to calculate the total charge Q of the sphere

Using formula of charge

`q=\rho V`

Where,
`\rho` = charge density

V = volume

Put the value into the formula

`q=\rho*((4)/(3)\pi r^3)`

Put the value into the formula

`q=(4)/(3)*\pi*400*10^(-9)*(5*10^(-2))^3`

`q=2.094*10^(-10)\ C`

Hence, The total charge Q of the sphere is
`2.094*10^(-10)\ C`.