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
B
2
C
4
D
3

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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