Three point charges are placed at the vertices of an equilateral triangle of side

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Three point charges are placed at the vertices of an equilateral triangle of side 0.20 m0.20\,\text{m}. Two of the charges are +5 μC+5\,\mu\text{C}, and the third is −5 μC-5\,\mu\text{C}. The space inside the triangle is filled with a uniform dielectric material of relative permittivity εr=2\varepsilon_{r}=2. What is the electric potential at the centroid of the triangle? (Use ke=8.99×109 N m2 ⁣/C2k_{e}=8.99\times10^{9}\,\text{N}\,\text{m}^{2}\!/\text{C}^{2}.) (a) +3.9×105 V+3.9\times10^{5}\,\text{V} (b) −1.9×105 V-1.9\times10^{5}\,\text{V} (c) +1.9×105 V+1.9\times10^{5}\,\text{V} (d) +1.1×105 V+1.1\times10^{5}\,\text{V}

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