Question

The work that must be done by an external agent to move a point charge of 2 mC from the origin

to a point 3 m away is 5 J. What is the potential difference between the two points?

(A) 4 × 10–4 V
(B) 10–2 V
(C) 2.5 × 103 V
(D) 2 × 106 V
(E) 6 × 106 V

Answer 1

(C) 2.5×10³ V

Step-by-step explanation:

Potential difference: This can be defined as the work done in moving a unit charge from one point to another in an electric field. The unit of potential difference is Volt (V)

Mathematically, it is represented as shown below

V = W/Q......................... Equation 1

Where V = potential difference, Q = charge, W = work done in moving the charge from one point to another in an electric field

given: Q = 2mC = 2×10⁻³ C, W = 5 J

Substituting these values into equation 1

V = 5/(2×10⁻³)

V = 2.5×10 V

Thus the potential difference between the two points = 2.5×10³ V

The right option is (C) 2.5×10³ V