Particle A carrying a charge of 3.0 nC is at the origin of a Cartesian coordinat
ID: 1609399 • Letter: P
Question
Particle A carrying a charge of 3.0 nC is at the origin of a Cartesian coordinate system What is the electrostatic potential (relative to zero potential at infinity) at a position r = 4.0 m from the origin? Express your answer with the appropriate units. With particle A held in place at the origin, how much work must be done by an outside agent to bring particle B, also carrying a 3.0-nC charge, from infinity to r = 4.0 m? Express your answer with the appropriate units. Particle B is returned to infinity, and particle A is moved to r = 4.0 m and held there. How much work must be done by an outside agent to bring particle B from infinity to the origin? Express your answer with the appropriate units.Explanation / Answer
The potential due to a point charge is given by
V = kQ/R
V = 9 x 10^9 x 3 x 10^-9/4 = 6.75 Volts
Hence, V = 6.75 V
The amount of work required to be done will be:
W = q V
W = 3 x 10^-9 x 6.75 = 2.025 x 10^-8 J
Hence, W = 2.025 x 10^-8 J
The potential at origin will be:
Vo = kq/r = 6.75 V ; W = q V = 2.025 x 10^-8 J
W = 2.025 x 10^-8 J