Question

Let $E_{a}$ be the electric field due to a dipole in its axial plane distant $1$ and let $E _{ q }$ be the field in the equitorial plane distant $1 '$. The relation between $E _{ a }$ and $E _{q}$ is

• A. $E_a = E_q$
• B. $E_a = 2 E_q$
• C. $E_q = 2 E_a$
• D. $E_a = 3 E_q$

Answer 1

Answer: (B)

$E_{axial}=\frac{1}{4\pi\varepsilon_{0}} \frac{2p}{r^{3}}$
$ E_{equatorial}= \frac{1}{4\pi\varepsilon_{0}} \frac{p}{r^{3}}$
$\therefore E_{a}=2E_{eq}.$