Dimension of the electric charge

[umut]

could someone told me an experiment that ı can find the dimensions of the electric charge in therms of m, kg, sec
the answer is kg^(1/2)*m^(3/2)/sn it can be found by assuming the epsilon zero is dimensionless
please say me an experiment that i can check it

 

[krab]

If permittivity is dimensionless, then from Coulomb's law, q^2/r^2 has dimensions of force. That's all you need to prove it.

 

[Brian Goulet]

Check out Max born's Einsteins's theory of relativity. He uses the cgs. system. e=cm(gm cm)^.5/sec. But what is the square root of a gram centimeter?

 

[Studiot]

Hello Brian, welcome to Physics Forums.
Are you aware this thread is over 7 years old?

Resurrecting old threads without good reason is frowned on.

 

[sardar]

There are a few different experiments that can be used to determine the dimensions of electric charge in terms of mass (kg), length (m), and time (s). One example is the Millikan oil drop experiment, which measures the charge of an electron by balancing the gravitational force on a charged oil droplet with the electric force created by an electric field. From this experiment, the dimensions of electric charge can be determined by analyzing the equations used to calculate the electric force and gravitational force, which involve mass, length, and time.

Another experiment that can be used is the Coulomb's law experiment, which measures the force between two charged objects. By analyzing the equations used to calculate this force, the dimensions of electric charge can also be determined.

Both of these experiments involve measuring forces and using equations that involve mass, length, and time, which allows for the determination of the dimensions of electric charge. Additionally, other experiments such as the Faraday cage experiment and the charge on a capacitor experiment can also be used to determine the dimensions of electric charge.