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In the given figure, two point charges q...

In the given figure, two point charges `q_(1) and q_(2)` are placed at distance a and b from a point P inside metallic sphere having charge Q. Find electric field due to the metallic sphere at point P?

A

`(1)/(4piepsilon_(0))sqrt(((q_(1))/(a^(2)))^(2)+((q_(2))/(b^(2)))^(2))`

B

`(1)/(4piepsilon_(0))(Q)/(R^(2))`

C

`(1)/(4piepsilon_(0))sqrt(((Q)/(R^(2)))^(2)+((q_(1))/(a^(2))+(q_(2))/(b^(2)))^(2))`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
`E_(p)=E_(1)+E_(2)+E_("sphere")`
`E_(p)=0`
`implies E_("sphere")=sqrt(E_(1)^(2)+E_(2)^(2))=(1)/(4piepsilon_(0))sqrt(((q_(1))/(a^(2)))^(2)+((q_(2))/(b^(2)))^(2))`
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