An infinitely long line charge having a uniform charge per unit length λ lies a distance d from point O as shown in the figure below. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where R d. (Use any variable or symbol stated above along with the following as necessary: ε0.)

Question

An infinitely long line charge having a uniform charge per unit length λ lies a distance d from point O as shown in the figure below. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where R < d and R > d. (Use any variable or symbol stated above along with the following as necessary: ε0.)