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ELECTRIC
FLUX THROUGH A SPHERE
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| Consider
a small positive point charge +q placed at the centre of a closed
sphere of radius "r". The relation  is
not applicable in this situation because the direction of electric intensity
varies point to point over the surface of sphere. In order to overcome this
problem the sphere is
divided into a number of small and equal pieces each of area DA.
The direction of electric field in each segment of sphere is the same
i.e. outward normal. |
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Now
we will determine the flux through each segment. www.citycollegiate.com
For latest information , free computer courses and high impact notes visit : www.citycollegiate.com Electric flux through the first segment: |
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| Electric flux through the second segment: | ||||
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| Similarly, | ||||
| Electric flux through other segments: www.citycollegiate.com | ||||
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| Being a scalar quantity, the total flux through the sphere will be equal to the algebraic sum of all these flux i.e. | ||||
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| This expression shows that the total flux through the sphere is 1/eO times the charge enclosed (q) in the sphere. | ||||
| The total flux through closed sphere is independent of the radius of sphere . | ||||
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For
latest information , free computer courses and high impact notes visit
: www.citycollegiate.com
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