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## Homework Statement

A non conducting rod of length 2.2 m carries a negative charge of 3.8 ×10^-7 spread uniformly over it's length .What is the magnitude of electric field near the mid point of the rod at a perpendicular distance 3.6 mm from the rod?

## Homework Equations

E=λ/2πε0r

## The Attempt at a Solution

As it has been given that we have to calculate electric field near the mid point of the rod ;we can use the formula of infinite line charge for our rod of finite length (i.e 2.2m)

using formula

E=λ/2πε0r

E=2λ/ 4πε0r

PUTTING VALUES

=9 ×10^9 ×2 ×3.8 ×10^-7/3.6 ×10^-3

=19 ×10^5 N/C

but the answer should be 8.6 ×10^5 N/C

where I am getting wrong?