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Let S be a closed surface and let denote the position vector of any point (x,y,z) measured from an origin O. then 
is equal to (if O lies inside S).
is equal to (if O lies inside S). - a)3π
- b)2π
- c)4π
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Let S be a closed surface and let denote the position vector of any po...
When origin O is inside S. In this case, divergence theorem cannot be applied to the region V enclosed by S, since 
has a point to discontinuity at the origin. To remove this difficulty, let us enclose the origin by a small sphare Σ of radius ε.
has a point to discontinuity at the origin. To remove this difficulty, let us enclose the origin by a small sphare Σ of radius ε. The function F is continuously differentiable at the points of the region v´ enclosed between S and Σ. Therefore applying divergence theorem for this region V´, we have
Now on the sphere Σ, the outward drawn normal n is directed towards the centre. Therefore on Σ, we have
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Let S be a closed surface and let denote the position vector of any point (x,y,z) measuredfrom an origin O. then is equal to (if O lies inside S).a)3πb)2πc)4πd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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