The electric field and the potential of an electric dipole vary with distance r as

Question

The electric field and the potential of an electric dipole vary with distance r as (A)  (1/r) and (1/r2)  (B)  (1/r2) and (1/r)  (C)  (1/r2) and (1/r3) (D)  (1/r3) and (1/r2)

Tardigrade Admin · Accepted Answer

Electric field and electric potential at a general point at a distance r from the centre of the dipole is Eg=(1/4 π ϵ0) ⋅ (p/r3) √3 cos 2 θ+1 And, V g =(1/4 π ϵ o ) ⋅ ( p cos θ/ r 2)

Q. The electric field and the potential of an electric dipole vary with distance $r$ as

$\frac{1}{r}$ and $\frac{1}{r ^{2}}$

$\frac{1}{r ^{2}}$ and $\frac{1}{r}$

$\frac{1}{r ^{2}}$ and $\frac{1}{r ^{3}}$

$\frac{1}{r ^{3}}$ and $\frac{1}{r ^{2}}$

Electric field and electric potential at a general point at a distance $r$ from the centre of the dipole is
$E_{g} = \frac{1}{4 π ϵ _{0}} \cdot \frac{p}{r ^{3}} 3 cos^{2} θ + 1$
And, $V_{g} = \frac{1}{4 π ϵ _{o}} \cdot \frac{p c o s θ}{r ^{2}}$

Q. The electric field and the potential of an electric dipole vary with distance r as

r1​ and r21​

r21​ and r1​

r21​ and r31​

r31​ and r21​