A point charge of +2C is placed at the origin. What is the electric field strength at a point 2m away from the charge?

A. 4.5 x 10^9 N/C towards the charge

B. 4.5 x 10^9 N/C away from the charge

C. 9 x 10^9 N/C towards the charge

D. 9 x 10^9 N/C away from the charge

Which of the following statements about electric field lines is FALSE?

A. They originate from positive charges and terminate on negative charges.

B. The number of lines leaving a charge is proportional to the magnitude of the charge.

C. They can never cross each other.

D. The direction of the field lines represents the direction of force on a negative test charge.

Two charges, Q1 and Q2, are separated by a distance r. If the magnitude of Q1 is doubled and the distance between them is halved, the electric field strength at the location of Q2 will:

A. Remain the same

B. Increase by a factor of 4

C. Increase by a factor of 8

D. Increase by a factor of 16

A particle with a charge of -3C is placed in an electric field of strength 2 x 10^5 N/C. What is the force experienced by the particle?

A. 6 x 10^5 N in the direction of the field

B. 6 x 10^5 N opposite to the direction of the field

C. 6 x 10^6 N in the direction of the field

D. 6 x 10^6 N opposite to the direction of the field

Which of the following is NOT a property of equipotential surfaces?

A. They are always perpendicular to electric field lines.

B. No work is done in moving a charge along an equipotential surface.

C. The potential difference between any two points on an equipotential surface is zero.

D. They represent regions of maximum electric field strength.

a) Define the concept of an electric field and explain its significance in relation to charged objects. [3]

b) A point charge of +2 μC is placed in a vacuum. Calculate the electric field strength at a point 0.05 m away from the charge. [2]

a) Describe the concept of electric field lines and explain how they are used to represent the strength and direction of an electric field. [3]

b) Two point charges, +3 μC and -3 μC, are placed 0.1 m apart. Calculate the point between the charges where the electric field strength is zero. [2]

a) Define electric potential energy and explain how it is related to the work done on a charge in an electric field. [3]

b) A charge of +1 μC is moved from point A to point B against an electric field, and 0.002 J of work is done. Calculate the difference in electric potential between points A and B. [2]

a) Explain the difference between electric field strength and electric potential at a point in space. [3]

b) A point charge of +4 μC is placed in a vacuum. Calculate the electric field strength at a point 0.04 m away from the charge. [2]

c) If a test charge of +1 μC is placed at that point, what is the electric potential energy associated with this test charge due to the point charge? [3]

a) Describe what is meant by an equipotential surface. [3]

b) In a uniform electric field of strength 500 N/C, calculate the work done in moving a +2 μC charge a distance of 0.03 m parallel to the field. [2]

c) If the same charge is moved perpendicular to the field over the same distance, what is the work done? [2]