Brainlist question
define or derive potential energy of a system of charges
if you want brainlist give the answer with proper derivation
in your copy
Answers
Answer:
Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space.
Explanation:
Let us consider a point charge ‘q’ in the presence of another charge ‘Q’ with infinite separation between them.
UE (r) = ke × [qQ/r]
where, ke = 1/4πεo = Coloumb’s constant
Let us consider a point charge ‘q’ in the presence of several point charges Qi with infinite separation between them.
UE (r) = ke q × ∑ni = 1 [Qi /ri]
Electric Potential for Multiple Charges
In the case of 3 Charges:
If three charges q1, q2 and q3 are situated at the vertices of a triangle, the potential energy of the system is,
U =U12 + U23 + U31 = 1/4πεo × [q1q2/d1 + q2q3/d2 + q3q1/d3]
In the case of 4 Charges:
If four charges q1, q2, q3 and q4 are situated at the corners of a square, the electric potential energy of the system is,
U = 1/4πεo × [(q1q2/d) + (q2q3/d) + (q3q4/d) + (q4q1/d) + (q4q2/√2d) + (q3q1/√2d)]