Final answer:
The change in potential energy of the system as a 2C charge is moved from point A to point B can be calculated using the formula: ΔPE = q * ΔV. In this case, the charge q is 2C and the potential difference ΔV is the voltage between the plates. Therefore, the change in potential energy of the system is 40 Joules.
Step-by-step explanation:
The change in potential energy of the system as a 2C charge is moved from point A to point B can be calculated using the formula:
ΔPE = q * ΔV
Where:
- ΔPE is the change in potential energy
- q is the charge being moved
- ΔV is the change in potential difference between the two points
In this case, the charge q is 2C and the potential difference ΔV is the voltage between the plates. Since the electric field between the plates is given as 2000 V/m, we can assume that the plates are parallel and uniform and use the formula:
ΔV = E * d
Where:
- ΔV is the change in potential difference
- E is the electric field strength
- d is the distance between the plates
Substituting the given values into the equations:
- ΔV = 2000 V/m * d = 2000 V/m * 0.01 m = 20 V
- ΔPE = 2C * 20 V = 40 J
Therefore, the change in potential energy of the system is 40 Joules.