Question

An electrostatic paint sprayer has a 0.17 m-diameter metal sphere at a potential of 25.0 kV that repels charged paint droplets onto the object to be painted, which is grounded (electric potential of 0).

Answer 1

`q=0.236uC`

Step-by-step explanation:

From the question we are told that:

Diameter
`d=0.17m`

Radius
`r=0.17/2=>0.085`

Potential
`E=25.0kV`

Generally the equation for Potential on spere is mathematically given by

`E=(1)/(4 \pi e_0)*(q)/(r)`

Therefore

`q=(25*10^3*0.085)/((1)/(4 \pi e_0))`

Where

`(1)/(4 \pi e_0)=9*10^9`

Therefore

`q=(25*10^3*0.085)/((9*10^9)}`

`q=0.236uC`