The magnitude of electric field intensity at point (.2,0,0.) due to a dipole of dipole moment, overset arrow P= hati+√3 hatj kept at origin is :

Question

The magnitude of electric field intensity at point (.2,0,0.) due to a dipole of dipole moment, overset arrow P= hati+√3 hatj kept at origin is : (A) (√13 K/8) (B) (√13 K/4) (C) (√7 K/8) (D) (√7 K/4)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-ozvcajlbdkowy8ol.jpg" /> overset arrow P= hati+√3 hatj |. overset arrow P|.=2 Electric field at (.2,0,0.) is E=(K P √3 cos2 θ + 1/r3) =(K (. 2 .) √3 (cos)2 60 + 1/8) =(√7 K/8)

Q. The magnitude of electric field intensity at point $(2, 0, 0)$ due to a dipole of dipole moment, $P \to = \hat{i} + 3 \hat{j}$ kept at origin is :

$\frac{13 K}{8}$

$\frac{13 K}{4}$

$\frac{7 K}{8}$

$\frac{7 K}{4}$

$P \to = \hat{i} + 3 \hat{j}$
$∣ P \to ∣ = 2$
Electric field at $(2, 0, 0)$ is
$E = \frac{K P 3 co s ^{2} θ + 1}{r ^{3}}$
$= \frac{K ( 2 ) 3 ( cos ) ^{2} 60 + 1}{8}$
$= \frac{7 K}{8}$

Q. The magnitude of electric field intensity at point (2,0,0) due to a dipole of dipole moment, P→=i^+3​j^​ kept at origin is :

813​K​

413​K​

87​K​

47​K​