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Question

An electric dipole coincides on the z-axis and its centre coincides with the origin of the cartesian coordinate system. The electric field at an axial point at a distance $$z$$ from the origin is $$E(z)$$ and the electric field at an equatorial point at a distance $$y$$ from the origin is $$E(y)$$.
Given that $$y=z>>a$$, the value of$$\dfrac{E(z)}{E(y)}$$ is


A
1
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B
2
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C
4
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D
3
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Solution

The correct option is B $$2$$
For a point on the axis of dipole, field is given by $$E(z)=\dfrac{2p}{4\pi\epsilon_o z^3}$$

For a point on an equatorial point , field $$E(y)=\dfrac{p}{4\pi\epsilon_o y^3}$$

$$\dfrac{E(z)}{E(y)}=\dfrac{2y^3}{z^3}$$

Since, $$y=z$$

Hence,$$\dfrac{E(z)}{E(y)}=2$$

Answer-(B)

Physics

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