CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


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 :
195820_fc31d5c0758d4815b6f423d95ed3cc58.png


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

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
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image