Two point charges of 1 C each are separated from each other by a distance of 1 m in vacuum. The force of interaction between them is |
$3 × 10^9 N$ $9 × 10^9 N$ $9 × 10^8 N$ $3 × 10^8 N$ |
$9 × 10^9 N$ |
The correct answer is Option (2) → $9 × 10^9 N$ Given: Charges: $q_1 = q_2 = 1\ \text{C}$ Distance: $r = 1\ \text{m}$ Vacuum permittivity: $\epsilon_0 = 8.854 \times 10^{-12}\ \text{F/m}$ Coulomb's law: $F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}$ Substitute values: $F = \frac{1}{4 \pi \cdot 8.854 \times 10^{-12}} \cdot \frac{1 \cdot 1}{1^2} = \frac{1}{1.112 \times 10^{-10}} \approx 8.99 \times 10^9\ \text{N}$ ∴ Force of interaction = 8.99 × 10⁹ N |