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Two point charges q(1)(sqrt(10)mu C) and...

Two point charges `q_(1)(sqrt(10)mu C)` and `q_(2)(-25mu C)` are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y =3 m on y-axis is,
`["take "(1)/(4piin_(0))=9xx10^(9)Nm^(2)C^(-2)]`

A

`(-81hati+81hatj)xx10^(2)`

B

`(81hati-81hatj)xx10^(2)`

C

`(-63hati+27hatj)xx10^(2)`

D

`(63hati-27hatj)xx10^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

`vecE=vecE_(1)+vecE_(2)`
`vecE_(1)=(1)/(4piepsilon_(0))xx(sqrt(10)xx10^(-6))/(10)xx[(-hati+3hatj)/(sqrt(10))]`
`vecE_(2)=(1)/(4piepsilon_(0))xx((-25xx10^(-6)))/(25)xx[(-4hati+3hatj)/(5)]`
`=(9xx10^(3))/(10)[-hati+hatj+8hati-6hatj]implies9xx10^(2)[7hati-3hatj]`
`=[63hati-27hatj]xx10^(2)N//C`
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