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Yo, d00dz, I can't remember how to find the electric field inside a conducting wire (actually a coaxial cable)

Here's the exact text of the problem:

A coaxial cable (inner radius a, outer radius b) is used as a transmission line between a battery E and a resistor R, as shown in Fig 19. (attached)

(a) Calculate E, B, for a < r < b.

(b) Calculate the Poynting vector S for a < r < b. (c) By suitably integrating the Poynting vector, show that the total power flowing across the annular cross section a<r<b is E^2/R. Is this reasonable? (D) show that the direction of S is always from the battery to the resistor, no matter which way the battery is connected.

Here's the exact text of the problem:

A coaxial cable (inner radius a, outer radius b) is used as a transmission line between a battery E and a resistor R, as shown in Fig 19. (attached)

(a) Calculate E, B, for a < r < b.

*There are some more parts, but I can probably handle them once I figure out how to calculate E, since B***c*= E and I know the Poynting vector and how to integrate and whatnot(b) Calculate the Poynting vector S for a < r < b. (c) By suitably integrating the Poynting vector, show that the total power flowing across the annular cross section a<r<b is E^2/R. Is this reasonable? (D) show that the direction of S is always from the battery to the resistor, no matter which way the battery is connected.