# Problem: 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 charges. 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).Part AThere is a single electron at a distance from the point charge. On which of the following quantities does the force on the electron depend?Check all that apply.A the distance between the positive charge and the electronB the charge on the electronC the mass of the electronD the charge of the positive chargeE the mass of the positive chargeF the radius of the positive chargeG the radius of the electronPart BFor the same situation as in Part A, on which of the following quantities does the electric field at the electron's position depend?Check all that apply.A the distance between the positive charge and the electronB the charge on the electronC the mass of the electronD the charge of the positive chargeE the mass of the positive chargeF the radius of the positive chargeG the radius of the electron

###### FREE Expert Solution

Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{{\mathbf{r}}^{\mathbf{2}}}}$, where k is Coulomb's constant, q is a charge, and r is the distance from the charge to the point.

Part A

The force on an electron due to electric field is:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{q}}{\mathbf{E}}}$, where q is charge and E is the electric field.

88% (86 ratings) ###### Problem Details

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 charges. 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).

Part A

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?
Check all that apply.
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

Part B
For the same situation as in Part A, on which of the following quantities does the electric field at the electron's position depend?
Check all that apply.
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