Electric Potential: A Coaxial Cable

A long coaxial cable carries a uniform volume charge density on the inner cylinder (radius 'a') and a uniform surface charge density on the outer cylindrical shell (radius 'b'). The surface charge is negative and of just the right magnitude so that the cable as a whole is electrically neutral. Demonstrate that you understand the concept of potential by finding the potential difference between a point on the inner cylinder (at radius 'a') and a point at twice the radius of the outer cylindrical shell, i.e., at a radius of '2b'.

Figure 1



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