Finding E-field at a point away from a line charge

[Geophyx]

Homework Statement

A line charge with a uniform linear charge density Lambda lies along the x-axis and extends from -∞ to 0. Determine the X-component, and Y-component of the E-field at a point P, a distance 'a' from the origin on the positive y-axis.

Homework Equations

dE= (k*dq/r^2)* r(hat)

The Attempt at a Solution

I'm getting tripped up on the limits of integration. Is there an x-component of the E-field at point P, even though the point lies on the Y-axis? I was able to calculate the Y-component and got E_y= (Q/L)/(4ε₀a)

 

[SammyS]

Homework Statement

A line charge with a uniform linear charge density Lambda lies along the x-axis and extends from -∞ to 0. Determine the X-component, and Y-component of the E-field at a point P, a distance 'a' from the origin on the positive y-axis.

Homework Equations

dE= (k*dq/r^2)* r(hat)

The Attempt at a Solution

I'm getting tripped up on the limits of integration. Is there an x-component of the E-field at point P, even though the point lies on the Y-axis? I was able to calculate the Y-component and got E_y= (Q/L)/(4ε₀a)

Yes, there is an x-component.