Which is the expression for electric potential due to a system of charges from the following?(a) V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(b) V=1 χ 4πεo \( (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(c) V=\(\frac {1}{8 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(d) V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} \times \frac {q_2}{r_2} \times \frac {q_3}{r_3} \times……. \frac {q_n}{r_n})\)I have been asked this question by my school teacher while I was bunking the class.The query is from Electrostatic Potential due to a System of Charges in chapter Electrostatic Potential and Capacitance of Physics – Class 12

Which is the expression for electric potential due to a system of char

1.	Which is the expression for electric potential due to a system of charges from the following?(a) V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(b) V=1 χ 4πεo \( (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(c) V=\(\frac {1}{8 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)(d) V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} \times \frac {q_2}{r_2} \times \frac {q_3}{r_3} \times……. \frac {q_n}{r_n})\)I have been asked this question by my school teacher while I was bunking the class.The query is from Electrostatic Potential due to a System of Charges in chapter Electrostatic Potential and Capacitance of Physics – Class 12
Answer» The CORRECT CHOICE is (a) V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\) To explain I would say: The ELECTRIC POTENTIAL at a point due to a system of charges is EQUAL to the algebraic sum of the electric potentials due to individual charges at that point. The expression for electric potential due to a system of charges is given by: V=\(\frac {1}{4 \pi \varepsilon_o} (\frac {q_1}{r_1} + \frac {q_2}{r_2} + \frac {q_3}{r_3} +……. \frac {q_n}{r_n})\)

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