# Continuous line charge distribution

A rod of length 80 cm has a uniform linear charge density of 5 mC/m. Determine the Electric Field at a point P located at a perpendicular distance 57 cm along a line of symmetry of the rod

i don't know what i wrong..but here is what i am doing

linecharge(change in lenght)= change in Q

E=Kdq/r^2
E=k*linecharge(dL)/r^2

i drew a free body diagram and the x components cancle out so i only have to worry about y

Ey=k*linecharge(dL)(costhea)/r^2 *costheta=height in y direction/r
Ey=k*linecharge(dL)(h/r)/r^2

so now i am going to integrate only half of the rod becuase of symetry

so i have the integral from 0 to L/2 of k*linecharge(dL)(h/r)/r^2

i simplify and i have Ey=k*linecharge(h) integral from 0 to L/2 of 1/r^3

i simplify again to get =k*linecharge(L/2)/h(h^2+(L/2)^2)^1/2

i believe this is the correct formula...but when i put the numbers in i get the wrong answer

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Hello,

I obtain an answer that is double of yours.

Best regards

Dick
Homework Helper
Hello,

I obtain an answer that is double of yours.