- #1

kevin_tee

- 80

- 2

## Homework Statement

This is not homework but it's kind of similar so may be I will post it here. I want to find the force between two charge sphere given radius, permittivity,distance, and voltage by diverge other equation to coulomb's law.

## Homework Equations

Coulomb law F=k Q

_{1}Q

_{2}/r

^{2}

F = force

k = electric constant

Q = electrostatic quality

r= distance

Voltage-dependent capacitors Q=CV

Q = electrostatic quality

C = capacitance

V = voltage

Capacitance of sphere C=4πεa

C = capacitance

ε = permittivity

a = radius

## The Attempt at a Solution

1. F=k Q

_{1}Q

_{2}/r

^{2}start with Coulomb's law

2. F=k (CV)

_{1}(CV)

_{2}/r

^{2}replace Q with CV since Q=CV

3. F=k (4πεaV)

_{1}(4πεaV)

_{2}/r

^{2}replace C with 4πεa since C=4πεa

So F=k (4πεaV)

_{1}(4πεaV)

_{2}/r

^{2}

Is this correct, I replace voltage-dependent capacitors and capacitance of sphere equation into coulomb law to find how much force is acting on it. So when I evaluate radius, permittivity,distance, and voltage it should gives me amount of force.

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