# Electric Potential and Electric Field Quiz

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## 11 Questions

It increases

Point A

Decreases

### What is the potential difference between points A and B in a uniform electric field?

$\Delta V_{AB} = 0$

### What is true about the electric field and the equipotential surface?

The electric field does no work as a charge is moved along an equipotential surface

### What happens when a test charge is moved from one point to another on an equipotential surface?

No net work is done on the charge

### What do a given set of points at the same potential form?

An equipotential surface

### What is the formula for the electric potential energy of a charge at a location in an electric field?

$pE = qV$

eV

### What is the work required to slowly move a charge q3 from infinity to the origin?

$qV$

### What is the formula for the electric potential due to a point charge?

$V = \frac{1}{4\pi\varepsilon_0} \frac{q}{r}$

## Study Notes

### Electric Potential and Electric Field

• As you move in the direction opposite to the electric field, the electric potential increases.
• In a uniform electric field, the point farther away from the direction of the electric field is at a higher potential.
• When a negative charge is moved from point A to point B in a uniform electric field, its electric potential energy decreases.

### Equipotential Surfaces

• The electric field is perpendicular to the equipotential surface.
• When a test charge is moved from one point to another on an equipotential surface, its electric potential energy remains the same.
• A set of points at the same potential form an equipotential surface.

### Electric Potential Energy

• The formula for the electric potential energy of a charge at a location in an electric field is U = k * q * Q / r.
• The unit used for energy in addition to joules is electronvolts (eV).

### Electric Potential due to a Point Charge

• The formula for the electric potential due to a point charge is V = k * Q / r.
• The work required to slowly move a charge q3 from infinity to the origin is the negative of the electric potential energy at the origin.

Test your understanding of electric potential and electric field with this quiz. Questions cover topics such as the relationship between potential and electric field, and calculating potential difference in a uniform electric field.

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