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# Electrostatics: Field and force, Coulomb's law, Gauss law.

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1. A system of 1525 particles, each of which is either an electron or a proton, has a net charge of -5.456 × 10-17C. (a) how many electrons are in this system? (b) What is the mass of this system? See attached file for full problem description.

2. See attached file for full problem description.

3. Three equal point charges are placed at the corners of a square of side d as shown in Fig. below. Which of the arrows shown represents the direction of the net electric field at the center of the square? Explain

4. Gauss' law can tell us how much charge is contained within a Gaussian surface. Can it tell us where inside the surface it is located? Explain

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#### Solution Preview

Please see the attached file.

1. A system of 1525 particles, each of which is either an electron or a proton, has a net charge of -5.456 × 10-17C. (a) how many electrons are in this system? (b) What is the mass of this system?

(a) The electron and protons are having charge of equal magnitude but opposite nature. The magnitude of this charge is e = 1.6*10-19 C, the electrons charge is negative and the proton is having positive charge.

let the number of electrons in the system is N then the number of protons will be 1525 - N. hence net charge of the system is given by

N(-e) + (1525 - N)e = -5.456*10-17

Or 1525 - 2N ...

#### Solution Summary

The four solutions are describing the electrostatic force, field and Gauss law.

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