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Grade 12Electrostatics

Two short dipoles each of the dipole moment p are placed at the origin. The dipole moment of one dipole is along the x-axis while that of the other is along the y-axis. The electric field at a point (a,0) is given by

ritika

7 Years agoGrade 12

1 Answer

Samyak Jain

7 Years ago

Electric field at a point on the axis distant ‘a’ from a short dipole of dipole moment p is 2Kp/a³

(here bold letter denotes vector and K is electrostatic constant)

i.e. here, electric field at point (a,0) due to short dipole along x-axis is 2Kp/a³ i.

Electric field at an equatorial point (point on perpendicular bisector of dipole) distant ‘a’ from a short dipole of dipole moment p is – Kp/a³

(here too bold letter denotes vector)

i.e. here, magnitude of electric field at point (a,0) due to short dipole along y-axis is – Kp/a³ j.

$\therefore$ Resultant electric field at point (a.0) is 2Kp/a³ i – Kp/a³ j.

Its magnitude is |2Kp/a³ i – Kp/a³ j| = $\sqrt{(2Kp/a^3)^2 + (-Kp/a^3)^2}$ = (Kp/a³) $\sqrt{2^2 + 1}$

= $\sqrt{5}$ Kp/a³.

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