Final answer:
The linear charge density on the outer surface of the conducting shell can be calculated using the formula λb = σ/L, where σ is the surface charge density and L is the length of the shell.
Step-by-step explanation:
The linear charge density on the outer surface of the conducting shell is represented by λb. The value of λb depends on the charge distribution and the location of the field point. For a point on the outer surface of the conducting shell, the charge enclosed by a Gaussian cylinder of length L is equal to the charge on the shell. Therefore, the linear charge density on the outer surface of the shell can be calculated using the formula λb = σ/L, where σ is the surface charge density and L is the length of the shell.