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]

A charge of 5C is moved from point A to point B in an electric field. The potential difference between A and B is 10V. What is the change in the electric potential energy of the charge?

A. 50J

B. -50J

C. 500J

D. -500J

In a uniform electric field, the field lines are:

A. Curved and close together

B. Curved and evenly spaced

C. Straight and close together

D. Straight and evenly spaced

The electric field inside a conductor in electrostatic equilibrium is:

A. Zero

B. Maximum

C. Half of the surface value

D. Equal to the surface value

A point charge Q creates an electric field. If the distance from the charge is tripled, the electric field strength will:

A. Remain unchanged

B. Decrease to one-third of its original value

C. Decrease to one-ninth of its original value

D. Increase threefold

Which of the following best describes the relationship between electric field strength (E) and electric potential (V) at a point in space?

A. E is the rate of change of V with respect to distance.

B. V is the rate of change of E with respect to distance.

C. E and V are always directly proportional.

D. E and V are always inversely proportional.

a) Explain how the electric field strength varies between two parallel plates connected to a battery when the distance between the plates is halved. [3]

b) If the potential difference between the plates is 12 V and the distance between them is 0.04 m, calculate the electric field strength between the plates. [2]

c) How would the electric field strength change if the potential difference is doubled while keeping the distance constant? [2]

a) Describe the relationship between electric field strength and electric potential gradient. [3]

b) An electron is placed in an electric field with a strength of 400 N/C. Calculate the force acting on the electron due to the field. [2]

c) If the electron is accelerated by this force over a distance of 0.02 m, calculate the work done on the electron. [3]

a) Define the term 'electric field strength' and explain its significance in relation to a positive test charge. [3]

b) Two point charges, +5 μC and -3 μC, are separated by a distance of 0.05 m in a vacuum. Calculate the electric field strength at the midpoint between the two charges. [3]

c) If a third charge of +2 μC is placed at this midpoint, what force will it experience due to the combined electric field of the two initial charges? [3]

d) Describe the direction of the force acting on this third charge. [2]

a) Explain the concept of the electric potential energy of a charge in an electric field. [3]

b) A charge of +4 μC is placed in a uniform electric field of strength 600 N/C. If the charge is moved 0.03 m against the field, calculate the work done. [3]

c) How does this work relate to the change in the electric potential energy of the charge? [2]

d) If the charge is released after being moved, describe its subsequent motion. [2]

a) What are equipotential surfaces? How are they oriented with respect to electric field lines? [3]

b) In a region where the electric field strength is increasing uniformly in the horizontal direction, describe the shape and orientation of the equipotential surfaces. [3]

c) A charge of -3 μC is moved from one equipotential surface to another, 0.02 m apart, against the electric field. If the potential difference between the surfaces is 10 V, calculate the work done. [3]

d) How would the work done change if the charge was positive? [2]