Question

# A short electric dipole moment $$\vec { p }$$ is placed at a distance $$r$$ from the centre of a solid metallic sphere of radius $$a(<<r)$$ as shown in  the figure. The electric field intensity at the centre of sphere $$C$$ due to induced charge on the sphere is :

A
zero
B
14πε02pr3 along CO
C
14πε02pr3 along OC
D
14πε0pr3 along CO

Solution

## The correct option is B $$\cfrac { 1 }{ 4{ \pi \varepsilon }_{ 0 } } \cfrac { 2p }{ { r }^{ 3 } }$$ along $$CO$$Electric field at $$C$$ due to electric dipole$$=\cfrac { 1 }{ 4\pi { \varepsilon }_{ 0 } } \cfrac { 2p }{ { r }^{ 3 } }$$ along $$OC$$Electric field at $$C$$ due to induced charge must be equal and opposite to electric field due to dipole as net field at $$C$$ is zero.Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More