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Grade: 12
        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
one month ago

## Answers : (1)

Samyak Jain
284 Points
							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.$\dpi{100} \therefore$ Resultant electric field at point (a.0) is 2Kp/a3 i – Kp/a3 j.Its magnitude is |2Kp/a3 i – Kp/a3 j| = $\dpi{80} \sqrt{(2Kp/a^3)^2 + (-Kp/a^3)^2}$  =  (Kp/a3)$\dpi{80} \sqrt{2^2 + 1}$                                                    = $\dpi{80} \sqrt{5}$Kp/a3.

one month ago
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