Let E a be the electric field due to dipole in its axial plane at distance l and let E text eq be the field in the equatorial plane at a distance l', then the relation between Ea and E eq will be

Question

Let E a be the electric field due to dipole in its axial plane at distance l and let E text eq be the field in the equatorial plane at a distance l', then the relation between Ea and E eq will be (A) E a =4 E texteq (B) E texteq =2 E a  (C) E a =2 E texteq  (D) E a =E eq / 3

Tardigrade Admin · Accepted Answer

We know that E( a )=(1/4 π ε0) (2 p/r3) (on axial line) and E text (eq) =(1/4 π ε0) (p/r3) (on equatorial line) Therefore, E text (a) =2 E text eq

Q. Let $E_{a}$ be the electric field due to dipole in its axial plane at distance $l$ and let $E_{eq}$ be the field in the equatorial plane at a distance $l^{'}$ , then the relation between $E_{a}$ and $E_{e q}$ will be

$E_{a} = 4 E_{eq}$

$E_{eq} = 2 E_{a}$

$E_{a} = 2 E_{eq}$

$E_{a} = E_{e q /3}$

We know that
$E_{(a)} = \frac{1}{4 π ε _{0}} \frac{2 p}{r ^{3}}$ (on axial line)
and $E_{(eq)} = \frac{1}{4 π ε _{0}} \frac{p}{r ^{3}}$ (on equatorial line)
Therefore, $E_{(a)} = 2 E_{eq}$

Q. Let Ea​ be the electric field due to dipole in its axial plane at distance l and let Eeq ​ be the field in the equatorial plane at a distance l′, then the relation between Ea​ and Eeq​ will be

Ea​=4Eeq​

Eeq ​=2Ea​

Ea​=2Eeq ​

Ea​=Eeq/3​