The value of electric potential at any point due to any electric dipole is

Question

The value of electric potential at any point due to any electric dipole is (A) k ⋅ ( vecp × vecr/r2) (B) k ⋅ ( vecp × vecr/r3) (C) k ⋅ ( vecp ⋅ vecr/r2) (D) k ⋅ ( vecp ⋅ vecr/r3)

Tardigrade Admin · Accepted Answer

Potential due to dipole in general position is given by V=(k ⋅ p cos θ/r2) ⇒ V= (k ⋅ p cos θ r/r3) =(k ⋅( vecp ⋅ vecr)/r3)

Q. The value of electric potential at any point due to any electric dipole is

$k \cdot \frac{p \times r}{r ^{2}}$

$k \cdot \frac{p \times r}{r ^{3}}$

$k \cdot \frac{p \cdot r}{r ^{2}}$

$k \cdot \frac{p \cdot r}{r ^{3}}$

Potential due to dipole in general position is given by
$V = \frac{k \cdot p c o s θ}{r ^{2}}$
$\Rightarrow V = \frac{k \cdot p c o s θ r}{r ^{3}}$
$= \frac{k \cdot ( p \cdot r )}{r ^{3}}$

Q. The value of electric potential at any point due to any electric dipole is

k⋅r2p​×r​

k⋅r3p​×r​

k⋅r2p​⋅r​

k⋅r3p​⋅r​

Potential due to dipole in general position is given by V=r2k⋅pcosθ​ ⇒V=r3k⋅pcosθr​ =r3k⋅(p​⋅r)​

$k \cdot \frac{p \times r}{r ^{2}}$

$k \cdot \frac{p \times r}{r ^{3}}$

$k \cdot \frac{p \cdot r}{r ^{2}}$

$k \cdot \frac{p \cdot r}{r ^{3}}$

Potential due to dipole in general position is given by
$V = \frac{k \cdot p c o s θ}{r ^{2}}$
$\Rightarrow V = \frac{k \cdot p c o s θ r}{r ^{3}}$
$= \frac{k \cdot ( p \cdot r )}{r ^{3}}$