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Physics
The electric field and the potential of an electric dipole vary with distance r as
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Q. The electric field and the potential of an electric dipole vary with distance $r$ as
KCET
KCET 2022
Electrostatic Potential and Capacitance
A
$\frac{1}{ r ^{2}}$ and $\frac{1}{ r ^{3}}$
20%
B
$\frac{1}{ r ^{3}}$ and $\frac{1}{ r ^{2}}$
24%
C
$\frac{1}{ r }$ and $\frac{1}{ r ^{2}}$
27%
D
$\frac{1}{r^{2}}$ and $\frac{1}{r}$
29%
Solution:
$E = K \frac{2 p }{ r ^{3}} \propto \frac{1}{ r ^{3}}$
$V = K \frac{ p \cos \theta}{ r ^{2}} \propto \frac{1}{ r ^{2}}$