A Geiger tube consists of two elements, a long metal cylindrical shell and a long straight metal wire running down its central axis. Model the tube as if both the wire and cylinder are infinitely long. The central wire is positively charged and the outer cylinder is negatively charged. The potential difference between the wire and the cylinder is 1.00 kV.

(a) What is the direction of the electric field inside the tube?

(b) Which element is at a higher electric potential?

(c) What is (are) the shape(s) of the equipotential surfaces inside the tube?

(d) Consider two equipotential surfaces described in Part (c). Suppose they differ in electric potential by 10 V. Do two such equipotential surfaces near the central wire have the same spacing as they would near the outer cylinder? If not, where in the tube are the equipotential surfaces that are more widely spaced? Explain your answer.