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A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in figure .the electric field inside emptied space is
Non zero and uniform
Please explain in detail

ashu

12 Years agoGrade 11

2 Answers

Arun Kumar

12 Years ago

We will use of superposition theorem here,

Assume whole sphere has charge density

$\rho$

then for smaller sphere to be of zero its charge density should be

$-\rho$

P be a point inside the smaller sphere.

O be centre of the bigger sphere.

S be center of smaller sphere.

We know at P

$\\E_{big\,sphere}=(\rho/3\epsilon)\overrightarrow{OP}\\ E_{small\,sphere}=(-\rho/3\epsilon)\overrightarrow{SP} \\E_{small\,sphere}=(-\rho/3\epsilon)(\overrightarrow{OP}-\overrightarrow{SP})=(\rho/3\epsilon)\overrightarrow{OS}$

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

ashu

12 Years ago

Not able to get how field is uniform inside because above vector shows different directions

Please send the full solution as soon as possible 🙏

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