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Question

The electric field due to an electric dipole at a distance $$r$$ from its center in axial position is $$E.$$ If the dipole is rotated through an angle of $$90^o$$ about its perpendicular axis, the electric field at the same point will be


A
E
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B
E4
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C
E2
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D
2E
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Solution

The correct option is B $$\dfrac {E}{2}$$
When a dipole AB of very small length is taken, then for a point P located at an axial distance $$r$$ from the axis the electric field is given by
$$E=\dfrac {1}{4\pi \varepsilon _0}\dfrac{2P}{r^3}$$    ...(i)
When dipole is rotated by $$90^o$$, then electric field is given by
$$E'=\dfrac {1}{4\pi \varepsilon _0}\dfrac{P}{r^3}$$     ...(ii)
From Eqs. (i) and (ii), we get
$$E'=\dfrac {E}{2}$$
721669_678831_ans_50552a55e60d4661ab17d668fe0f84d9.png

Physics

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