An electric field can be created by a single charge or a distribution of charges. The electric field a distance from a point charge has magnitude E = k|q'|/r^2. The electric field points away from positive charges and toward negative charges. A distribution of charges creates an electric field that can be found by taking the vector sum of the fields created by individual point harges. Note that if a charge is placed in an electric field created by q', q will not significantly affect the electric field if it is small compared to q'. Imagine an isolated positive point charge with a charge Q (many times larger than the charge on a single electron).
1. There is a single electron at a distance from the point charge. On which of the following quantities does the force on the electron depend?
a. the distance between the positive charge and the electron
b. the charge on the electron
c. the mass of the electron
d. the charge of the positive charge
e. the mass of the positive charge
f. the radius of the positive charge
g. the radius of the electron
2. For the same situation as in Part A, on which of the following quantities does the electric field at the electron's position depend?
a. the distance between the positive charge and the electron
b. the charge on the electron
c. the mass of the electron
d. the charge of the positive charge
e. the mass of the positive charge
f. the radius of the positive charge
g. the radius of the electron

For a single electron located at a distance from a positive charge, we have:

1. The force on the electron depends on the distance between it and the positive charge (option a) and the charge of both particles (option b and d).      

2. The electric field at the electron's position depends on the distance between the positive charge and it (option a) and the charge of the positive particle (option d).    

The force on a single electron at a distance from the point charge is given by Coulomb's law:

   (1)

Where:

As we can see in equation (1), the force on the electron by the positive charge depends on both charges q₁ and q₂, and the distance, so the correct options are:

a. The distance between the positive charge and the electron

b. The charge on the electron

d. The charge of the positive charge

The other options (c, e, f, and g) are incorrect because the electric force does not depend on the particles' masses or their radii.

The electric field (E) at a distance "r" from a point charge is given by:

  (2)

From equation (2), we can see that the electric field is directly proportional to the charge and inversely proportional to the distance of interest (r).  

The electric field at the electron's position is given by the one produced by the positive charge, so the correct options are:

a. The distance between the positive charge and the electron

d. The charge of the positive charge

The other options (b, c, e, f, and g) are incorrect because the electric field is independent of the mass of the charges involved and their radii.

Therefore, the correct options for part 1 are a, b, and d and for part 2 are a and d.

Learn more about the electric field here:

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I hope it helps you!

a) true.

b) True

c) False. In the equation above the mass does not appear

d) True

e) False. Mass does not appear in the equation

f) False. The load even when distributed in the space can be considered concentrated in the center

Explanation:

1. The electric force is given by the relation

           F = k Q e / r2

where k is the Coulomb constant, Q the charge used, e the charge of the electron and r the distance between the two.

 The strength depends on:

a) true.

b) True

c) False. In the equation above the mass does not appear

d) True

e) False. Mass does not appear in the equation

f) False. The load even when distributed in the space can be considered concentrated in the center

two.

a) True

b) Treu

c) Fail

f) false

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