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An infinite number of identically charge...

An infinite number of identically charged bodies are kept along the X-axis at points x = 0,1 m, 2 m, 4 m, 8 m, 16 m and so on. All other charges repel the charge at the origin with a force of 1.2 N. Find magnitude of each charge

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According to the question,
` F = kq^(2) (1+(1)/(2^(2)) +(1)/(4^(2)) +(1)/(8^(2)) + ....)`
` = kq^(2) ((1)/(1^(2)) + (1)/(2^(2)) + (1)/(2^(4)) +(1)/(2^(6)) +...)`
Substituting the given values. We get
` q = 10 muC `
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