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MHT CET 2023 (12 May, Shift 1) · Electric Dipole

Electric Dipole question from MHT CET 2023 (12 May, Shift 1)

Q47MHT CET 2023 · 12 MAY · SHIFT 1Medium

Electric Dipole

Two electric dipoles of moment $P$ and $27P$ are placed on a line with their centres $24\text{ cm}$ apart. Their dipole moments are in opposite direction. At which point the electric field will be zero between the dipoles from the centre of dipole of moment P?

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Answer: (a)

On the common axis the two axial fields are opposite (dipoles point opposite ways).
$\frac{2kP}{x^3} = \frac{2k(27P)}{(24 - x)^3} \Rightarrow 24 - x = 3x$
$x = 6$ cm
So the answer is (a) 6 cm.

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