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Magnetic Field Due to Current in a Solenoid

An electric d...

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 $y = z >> a$ , which is true?

E (z)

and

E (y)

are perpendicular

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E (z)

and

E (y)

are parallel

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E (z)

and

E (y)

are at

45^{o}

to one another

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None of these

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Solution

The correct option is B $E (z)$ and $E (y)$ are parallel

We know that electric field at axial point $E (z)$ is along dipole moment that is $\to E (z) ∥ \to p$

And, for equatorial points , field is directed parallel to dipole moment but in opposite direction, that is $\to E (y) ∥ - \to p$

Hence, $\to E (z) ∥ \to E (y)$

Answer-(B)

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Similar questions

Q. 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

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from the origin is

E (z)

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.
Given that

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