Figure shows a triangular array of three point charges. The...

Figure shows a triangular array of three point charges. The electric potential $\mathrm{V}$ of these source charges at the midpoint $\mathrm{P}$ of the base of the triangle is $\left[1 /\left(4 \pi \epsilon_{0}\right)=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{c}^{2}\right]$ (A) $55 \mathrm{KV}$ (B) $63 \mathrm{KV}$ (C) $49 \mathrm{KV}$ (D) $45 \mathrm{KV}$.

Figure shows a triangular array of three point charges. The electric potential $\mathrm{V}$ of these source charges at the midpoint $\mathrm{P}$ of the base of the triangle is $\left[1 /\left(4 \pi \epsilon_{0}\right)=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{c}^{2}\right]$
(A) $55 \mathrm{KV}$
(B) $63 \mathrm{KV}$
(C) $49 \mathrm{KV}$
(D) $45 \mathrm{KV}$.

Key Concepts

Point Charges

Point charges are idealized charged particles that have all their charge concentrated at a single point in space. They are used in theoretical calculations to simplify the analysis of electric fields and potentials, as their interactions can be described by Coulomb's law.

Electric Potential

Electric potential is a scalar quantity that represents the electric potential energy per unit charge at a point in space. It is calculated as the work done to bring a positive test charge from infinity to that point without acceleration, and for a point charge, it is given by the expression V = kq/r, where k is Coulomb's constant, q is the charge, and r is the distance from the charge.

Superposition Principle

The superposition principle states that the total electric potential created by a group of charges is the algebraic sum of the potentials due to each individual charge. Since electric potential is a scalar quantity, this allows for the straightforward addition of contributions from multiple charges regardless of their directions.

Coulomb's Law Constant (Permittivity of Free Space)

Coulomb's constant, often expressed in the form k = 1/(4???), plays a crucial role in calculating the electric potential and electric field due to point charges. The permittivity of free space (??) is a fundamental physical constant that characterizes the ability of a vacuum to permit electric field lines, and it appears in both Coulomb’s law and the expression for electric potential.

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