A cylindrical capacitor of inner radius R1 and outer radius R2 and length L>>R2 (may be treated as infinite) contains dielectric material such that the dielectric constant is given by:
\epsilon=\left{\matrix{\epsilon_1, & 0<\theta<\pi \\ \epsilon_2, & \pi<\theta<2\pi }
  1. Find the capacitance of the system by caclulating the ratio of the charge to the potential difference.
  2. The charge on each cylinder is . What is the energy of the system?