In order to answer this question, we must first understand what electric potential energy is. Electric potential energy is the energy that an electric charge has due to its position in an electric field. The electric potential energy of a charge is directly proportional to the charge’s electric potential.

The electric potential of a point in an electric field is the amount of work that would need to be done in order to move a unit charge from a reference point to that point in the electric field. The reference point is usually chosen to be infinity, where the electric potential is zero.

Thus, if we want to calculate the electric potential energy of a charge at a certain point in an electric field, we need to know the charge’s electric potential at that point. In this case, we are given the charge and the electric potential energy, and we are asked to find the electric potential at the given point.

We can use the equation for electric potential energy, which states that the electric potential energy of a charge is equal to the charge multiplied by the electric potential. Since we know the charge and the electric potential energy, we can solve for the electric potential.

Thus, if a 25 nC charge were placed at this point, the electric potential would be 4 kV. The electric potential energy of the charge would be 100 kJ.

## Other related questions:

### Q: What is the electric potential energy of the nC charge?

A: The electric potential energy of the nC charge is

V = kQ/r

where k is the Coulomb’s constant, Q is the charge, and r is the distance from the charge.

### Q: How do you find the electric potential energy of a charge?

A: The electric potential energy of a charge q is given by:

U = qV

where V is the electric potential.

### Q: How do you find potential energy at a point?

A: For a point in space, the potential energy is the sum of the gravitational potential energy and the electrostatic potential energy.

### Q: What is the electric potential at a point in an electric field?

A: The electric potential at a point in an electric field is the amount of work that would be required to move a unit charge from that point to a reference point in the field, divided by the charge.

## Bibliography

- Solved At one point in space, the electric potential energy
- Solved At one point in space, the electric potential energy
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