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Two concentric metal spherical shells, of radius a and b, respectively, are separated by weakly conducting material of conductivity σ.
(a) Show that Laplace's equation is valid within the conductor.
(b) Solve Laplace's equation in spherical coordinates by direct integration, assuming both spheres are maintained at potential difference ?V=V(a)-V(b). Hint: you do not need to use separation of variables here.
(c) Find the electric field within the conductor.
(d) What current flows from one to the other?
(e) What is the resistance between the shells?
(f) Find the power dissipated within the conductor, given ?V
Show all the steps in the mechanism for the following reaction, When benzene is mixed with deuterated sulfuric acid, deuterium is slowly incorporated onto the ring. Show the mechanism for this reaction and explain how this relates the sulfonation of ..
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