# Electric Field and Electric Potential

• Dorney
In summary, for a sphere with a positive charge Q uniformly distributed on its surface, the magnitude of the electric field E is 0 and the potential V is kQ/R for r < R, and the magnitude of the electric field E is kQ/(r^2) and the potential V is kQ/r for r > R. There was some discussion about the correct answers, with some proposing B and D and others proposing C and D, but it was ultimately determined that the correct answers are B and D.
Dorney
[SOLVED] Electric Field and Electric Potential

1. Refer to a sphere of radius R that has a positive charge Q uniformly distributed on its surface.

Which of the fllowing represents the magnitude of the electric field E and the potential V as functions of r, the distance from the center of the sphere, where r < R?

A) E = 0 and V = kQ/R
B) E = 0 and V = kQ/r
C) E = 0 and V = 0
D) E = kQ/(r^2) and V = 0
E) E = kQ/(R^2) and V = 0

Which of the following represents the magnitude of the electirc field E and the potential V as functions of r, the distance from the center of the sphere, where r > R?

A) E = kQ/(R^2) and V = kQ/R
B) E = kQ/R and V = kQ/R
C) E = kQ/R and V = kQ/r
D) E = kQ/(r^2) and V = kQ/r
E) E = kQ/(r^2) and V = kQ/(r^2)

2. E = kq/(r^2) and V = kq/r

3. Thinking it through, I got the answers B and D, respectively.

nm i got it.

Is the answer actually B and D?

I'm thinking it might be C and D. Potential is the integration of the electric field dotted with dr. If E is zero, how can there be any potential? Am I wrong?

## 1. What is an electric field?

An electric field is a region in space where an electric charge experiences a force. It is created by electric charges and can be either positive or negative.

## 2. How is the strength of an electric field measured?

The strength of an electric field is measured in units of Newtons per Coulomb (N/C). This unit is also known as volts per meter (V/m). The higher the value, the stronger the electric field.

## 3. What is electric potential?

Electric potential is the amount of work required to move a unit positive charge from one point to another in an electric field. It is measured in units of volts (V).

## 4. How is electric potential energy related to electric potential?

Electric potential energy is the energy that a charged particle possesses due to its position in an electric field. It is directly proportional to the electric potential. As the electric potential increases, so does the electric potential energy.

## 5. How is the direction of an electric field determined?

The direction of an electric field is determined by the direction that a positive test charge would move if placed in that field. Positive charges will move towards regions of lower potential, while negative charges will move towards regions of higher potential.

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