A 10 cm long rod carries a charge of `+150 muC` distributed uniformly along its length. Find the magnitude of the electric field at a point 10 cm from both the ends of the rod.

Options

A. `15.6 xx 10^7 N//C`
B. `15.6 xx 10^5 N//C`
C. `1.56 xx 10^7 N//C`
D. `1.56 xx 10^5 N//C`

Answer

A

Explanation

`Net electric field =intdEcos theta `
`int1/(4piepsilon_0)(q/ldx)/((x^2+125)).x/(sqrt(x^2+125)) `
` int_(-10)^(10)1/(4piepsilon_0).q/l(xdx)/(sqrt(x^2+125)).(x^2+125) `
` 5.2xx10^7N//C`.