Two point charges +10 c and -10 c are separated by a distance of 40 cm in air .Calculate the electrostatic potential energy of a system.
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The electrostatic potential energy of a system is UE = - 2.25 x 10^12 J
Explanation:
Given data:
q1 = + 10 c
q2 = - 10 c
Distance between charges = 40 cm = 0.4 m
To find
Electrostatic potential energy = ?
Using the formula
UE = Kq1q2 / r
Here,
UE = electric potential energy
k = Coulomb constant = 9.0 x 109 N • m^2 / C^2
q1, q2 = charges
UE = Kq1q2 / r
UE = 9.0 x 10^9 x + 10 x - 10 / 0.4
UE = 9.0 x 10^9 x - 100 / 0.4
UE = 9.0 x 10^9 x - 250
UE = - 2.25 x 10^12 J
Negative potential energy means that work was done against the electric field in moving the charges apart from each other.
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