Potential Energy in an External Field

Chapter-2|Electrostatic Potential and Capacitance| NCERT 12th Physics:

Potential Energy in an External Field:

Potential energy in an external field of a system are as under 

Potential Energy of a Single Charge in External Field:

If V(r) is the potential at a point due to external field E, Then potential energy of a single charge q at a point with position vector r in an external field

Potential Energy of a System of Two Charges in an External Field:

If V₁ and V₂ be the electric potential of the field E at the point where q₁ and q₂ are located, then potential energy of the two charges in the field E is

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