2. Page > of 3 5. Two long coaxial metal cylinders with radii a and b are separated by material of conductivity o (see figure below). The conductivity is not uniform and changes as = (s)0 where k is a constant. If the two cylinders are kept at a potential difference V, find the resistance R between the cylinders. (s)o Hint: Since the conductivity is a function of position, the charge density in the resistive medium is not zero and E does not go like 1/s. However, since the current I is steady, the same current flows across each eylindrical surface. Instead of using Gauss' Law, find E in terms of I, from Ohm's Law. acer F10 F11

2. Page > of 3 5. Two long coaxial metal cylinders with radii a and b are separated by material of conductivity o (see figure below). The conductivity is not uniform and changes as = (s)0 where k is a constant. If the two cylinders are kept at a potential difference V, find the resistance R between the cylinders. (s)o Hint: Since the conductivity is a function of position, the charge density in the resistive medium is not zero and E does not go like 1/s. However, since the current I is steady, the same current flows across each eylindrical surface. Instead of using Gauss' Law, find E in terms of I, from Ohm's Law. acer F10 F11