(A) The electric field on the axial line of a short dipole at a distance $r$ is given by:$E_{axial} = \frac{2kp}{r^3}$The electric field on the equato

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(A) The electric field on the axial line of a short dipole at a distance $r$ is given by:$E_{axial} = \frac{2kp}{r^3}$The electric field on the equatorial line of a short dipole at a distance $2r$ is given by:$E_{equatorial} = \frac{kp}{(2r)^3} = \frac{kp}{8r^3}$According to the problem,$E_{axial} = x \cdot E_{equatorial}$.Substituting the expressions:$\frac{2kp}{r^3} = x \cdot \frac{kp}{8r^3}$Canceling $kp/r^3$ from both sides:$2 = \frac{x}{8}$$x = 16$

Class 12 Physics Electric Charges and Fields Electric Dipole and Electric Field

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The electric field due to a short electric dipole at a distance $r$ on the axial line from its mid-point is $x$ times the electric field at a distance $2r$ on the equatorial line from the mid-point of the dipole. Then,the value of $x$ is

AP EAMCET 2018 All AP EAMCET

A
$16$
B
$9$
C
$25$
D
$36$

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Electric Charges and Fields

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Electric Dipole and Electric Field

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The electric field due to a short electric dipole at a distance $r$ on the axial line from its mid-point is $x$ times the electric field at a distance $2r$ on the equatorial line from the mid-point of the dipole. Then,the value of $x$ is

Similar Questions

An electric dipole of dipole moment $\vec{p}$ is lying along a uniform electric field $\vec{E}$. The work done in rotating the dipole by $90^{\circ}$ is:

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