Two short dipoles (A, B), A having charges ± 2 and length 1 cm and B… | JEE Main 2026 (23 Jan, Shift 2)

Q14JEE Main 2026 · 23 JAN · SHIFT 2Medium

Electric Dipole

Two short dipoles $(A, B), A$ having charges $\pm 2\,\mu\text{C}$ and length 1 cm and $B$ having charges $\pm 4\,\mu\text{C}$ and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point $P$ , equi-distant from the centres of both dipoles is ______ N/C.

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Answer: (b)

P is 40 cm from each centre. $p_A = 2\times10^{-6}\times0.01 = 2\times10^{-8}$ C m, $p_B = 4\times10^{-8}$ C m.
P on the axis of A: $E_A = \frac{2kp_A}{r^3} = \frac{2\times9\times10^9\times2\times10^{-8}}{0.064} = 5625$ N/C (horizontal).
P on the equatorial line of B: $E_B = \frac{kp_B}{r^3} = \frac{9\times10^9\times4\times10^{-8}}{0.064} = 5625$ N/C (vertical).
$E = 5625\sqrt2 = \frac{9}{16}\sqrt2\times10^4$ N/C
So the answer is (b).

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