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प्रश्न
At what separation should two equal charges, 1.0 C each, be placed, so that the force between them equals the weight of a 50 kg person?
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उत्तर
Given:
Magnitude of charges, q1 = q2 = 1 C
Electrostatic force between them, F = Weight of a 50 kg person = mg = 50 × 9.8 = 490 N
Let the required distance be r.
By Coulomb's Law, electrostatic force,
\[F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}\]
\[ \Rightarrow 490 = \frac{9 \times {10}^9 \times 1 \times 1}{r^2}\]
\[ \Rightarrow r^2 = \frac{9 \times {10}^9}{490}\]
\[\Rightarrow r = \sqrt{\frac{9}{49} \times {10}^8} = \frac{3}{7} \times {10}^4 \text{m} = 4 . 3 \times {10}^3 \text{ m }\]
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