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Question
Write a short note on superposition principle.
Solution
- The superposition principle explains the interaction of multiple charges.
- The total force acting on a given charge is equal to the vector sum of forces exerted on it by all the other charges.
- The force on q1 exerted by the charge q <2 is `vec "F"_12 = "K" ("q"_1"q"_2)/"r"_21^2 hat"r"_21`
- The force on q1 exerted by the charge q<3 is `vec "F"_13 = "K" ("q"_1"q"_3)/"r"_31^2 hat"r"_31`
- `vec "F"_1^"tot" = "K" {("q"_1"q"_2)/"r"_21^2 hat"r"_21 + ("q"_1"q"_3)/"r"_31 + ... ("q"_1"q"_"n")/"r"_("n"_"i") hat"r"_("n"_"i")}`
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