Equatorial Line or Broadside-on-position or TAN-B position of the electric dipole tends to showing the description, explanation and calculation.
Equatorial Line or Broadside-on-position or TAN-B
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Equatorial Line or Broadside-on-position or TAN-B
Electric Dipole and Dipole Moment: The electric dipole consists of a pair of equal and opposite charges at very small distance appart.
The strength of electric dipole is measured by a vectro quantity known as electric dipole moment.
The electric dipole moment is a product between manitude of either charge and vector distance between them.
Mathematically, it is given by,
\vec{P}=q \times 2\vec{l}Analytical Treatment for Field intensity Due to Dipole on The Equatorial Line
Let’s consider an electric dipole AB of length 2l.
Let OA = OB = l

Let P is point of observation at a distance “r” from center of dipole O, on the equatorial line of the dipole.
So that,
OP = r
\therefore AP = BP = \sqrt{r^{2}+l^{2}}Let E_{1} = electric field intensity at the point P due to charge +q.
So that,
E_{1} = \frac{1}{4\pi\epsilon_0}.\frac{q}{(r^{2}+l^{2})} along PT — (1)
Let E_{2} = electric field intensity at the point P due to charge -q.
So that,
E_{2} = \frac{1}{4\pi\epsilon_0}.\frac{q}{(r^{2}+l^{2})} along PS — (2)
Let E = electric field intensity at the point P due to electric dipole.
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