Potential due to a point charge

The video tutorial explains how to determine the electrostatic potential at a point P due to a point charge Q located at the origin. It covers the calculation of work done in bringing a unit positive test charge from infinity to point P, emphasizing the positive work done against the repulsive force of a positive charge. The tutorial details the electrostatic force on the charge, the displacement, and the integration process to find the total work done. It also discusses the potential and field relationships, highlighting that the potential is inversely proportional to the distance and the field is inversely proportional to the square of the distance.

What is the nature of the work done when bringing a unit positive test charge from infinity to a point near a positive charge Q?

• Negative, because the force is attractive

• Depends on the path taken

• Positive, because the force is repulsive

• Zero, because no work is needed

Which of the following expressions represents the electrostatic force on a unit positive charge at an arbitrary point along the path?

• Q1 by 4 pi epsilon 0 r squared r cap

• Q1 by 4 pi epsilon 0 r dash squared r cap dash

• Q by 4 pi epsilon 0 r squared

• Q by 4 pi epsilon 0 r dash

How is the total work done calculated when moving a charge from infinity to a point P?

• By subtracting the initial potential from the final potential

• By multiplying the force by the distance

• By integrating the force over the path

• By adding the initial and final forces

What happens to the potential at point P if the charge Q is negative?

• The potential becomes negative

• The potential becomes zero

• The potential remains the same

• The potential becomes positive

How does the electrostatic potential vary with distance from the charge?

• It is directly proportional to the distance

• It is inversely proportional to the distance

• It is inversely proportional to the square of the distance

• It is directly proportional to the square of the distance