Electric Flux Through Spherical Surface Centered at Origin

[rizamadiyar]

1.
A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

Homework Equations

L=2rπ
φ=Q/ε
λ=Q/L

The Attempt at a Solution

I found the charge by substituting values into Q=λL, then I found the flux, but the answer I get is incorrect, the correct one is 45 N m2/C

What am I missing?

 

[haruspex]

I found the charge by substituting values into Q=λL,

Where L is what? You wrote L=2πr. Is that what you used? On what basis?

 

[rizamadiyar]

Where L is what? You wrote L=2πr. Is that what you used? On what basis?

Oh, I got this, L=2R, not 2πR, since the charge is distributed on the axis. Am I right?

 

[haruspex]

Oh, I got this, L=2R, not 2πR, since the charge is distributed on the axis. Am I right?

Yes.