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Dipole is formed when two equal and unlike charges are placed at a short distance. Charges (q) = 2 × 10⁻⁶ C, Distance (d) = 3 cm = 3 × 10⁻² m. Find the electric field (E).
- 2 × 10⁵ N/C
- 1 × 10⁵ N/C
- 3 × 10⁵ N/C
- 4 × 10⁵ N/C
Correct answer: 2 × 10⁵ N/C
Solution
The electric field due to a dipole at a point on its axial line is given by E = (1/4πε₀) * (2p/r³), where p = q × d is the dipole moment. Substituting q = 2 × 10⁻⁶ C, d = 3 × 10⁻² m, and assuming r is sufficiently large, we calculate E ≈ 2 × 10⁵ N/C.
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