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)]`

Options

A. `(63hat i-27hat J)xx10^2`
B. `(-81hat i+81hat J)xx10^2`
C. `(-63hat i+ 27hat J)xx 10^2`
D. `(81hat i-81hat J)xx10^2`

Answer

A

Explanation

`e=vecE_1+vecE_2 ,=9 times 10^9 {q_1/(AP^3)} (-hati +3 hat j) +q_2/(BP^3) (-4 hat i+3 hat j)`
`=9 times 10^9 {(sqrt10 times 10^-6)/(10sqrt10) (- hat i+3 hat j)+25/(25+5)(-4 hat i+3 hat j)}`
`=(63 i-27j) times 10^2)`