Point charges of 10nC,20nCand10nC are k...

Point charges of 10nC,20nCand10nC are kept at the corners A,B C of a square ABCD of side 3m. Calculate the magnitude of the resultant electric intensity at D.

Text Solution

Verified by Experts

Electric intensity , `E=(1)/(4piepsilon_(0))(q)/(d^(2))`
Here `E_(A)=E_(C)=9xx10^(9)xx10xx10^(-9)//9`
`=10NC^(-1)`
`E_(B)=(9xx10^(9)xx20xx10^(9))/((3sqrt(2))^(2))`
`=10N//C^(-1)`
Resultant of `E_(A)&E_(C)` is `(sqrt(2)xxE_(A))=10sqrt(2)`
`E_(B)` is along `sqrt(2)xxE_(A)`
Resultant electric intensity at D is equal to
`(sqrt(2)xxE_(A))+E_(B)=10+10sqrt(2)`
`24.14NC^(-1)`

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