Final Answer:
The question appears to be incomplete, as it introduces an infinite sheet of charge with surface charge density and mentions a thin rod of charge with length l = 13.0, but the sentence is incomplete. Further details are needed to provide a specific answer.
Step-by-step explanation:
The question lacks crucial details needed for a precise answer. However, I can provide a general explanation based on the information given. An infinite sheet of charge with surface charge density in the x-y plane suggests a scenario in electrostatics where we might consider applying Gauss's law to determine the electric field produced by the sheet.
For the thin rod of charge with length l = 13.0, additional information is required to calculate its contribution to the electric field. The electric field produced by a charged rod is influenced by its linear charge density (λ), and the angle and distance from the rod.
To proceed with a detailed explanation and calculations, we would need the complete question, including specific values for the surface charge density of the infinite sheet, the linear charge density of the rod, and the relevant distances and angles involved. Without these details, a comprehensive explanation and numerical calculations are not possible. If you have the complete question, please provide it so that I can offer a more specific and accurate response.