Two long cylinders of radii 5 cm and 10 cm form a coaxial cylindrical capacitor, the space between them being filled with a dielectric of relative permittivity 6. the inner cylinder carries a charge of 10-8 c m-1 of its length. calculate: -
(a) the value of the electric displacement, field strength, and the polarisation at a
point mid-way between the plates;
(b) the potential difference between the plates;
(c) the densities of the surface charges of the dielectric;
(d) the energy associated with the dielectric in one metre of the capacitor.

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s