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

Answer:

$q=0.236uC$

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

$E=\frac{1}{4 \pi e_0}*\frac{q}{r}$

Therefore

$q=\frac{25*10^3*0.085}{\frac{1}{4 \pi e_0}}$

Where

$\frac{1}{4 \pi e_0}=9*10^9$

Therefore

$q=\frac{25*10^3*0.085}{(9*10^9}}$

$q=0.236uC$