Point charges of +6µC and –4µC are placed on x-axis at x = 8m and x = 16m respectively. What magnitude of charge (in µC) must be placed at x = –8m, so that any charge kept at origin experiences no electrostatic force.

Engineering

Physics

Charge and Coulombs Law

Question

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$\frac{k \times Q \times q}{8^{2}} \hat{i} - \frac{kQ \times 6}{8^{2}} \hat{i} + \frac{kQ \times 4}{16^{2}} \hat{i} = 0$

⇒ q – 6 + 1 = 0
⇒ q = 5µC