Equatorial Line or Broadside-on-position or TAN-B Position of The Electric Dipole

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.