A single isolated conductor can store charge. We can define its capacitance as t

Question

A single isolated conductor can store charge. We can define its capacitance as the ratio of the charge to the potential at the surface. (alternatively, one can think of a second conductor at infinity storing a negative charge of equal magnitude. This gives the same result, since V = 0 at infinity and the potential difference is therefore just the potential on the first conductor's surface.) (a) Find an expression for the capacitance of an isolated spherical conductor of radius R. (HINT: The field outside the sphere is the same as though all of the charge were concentrated at the center. Gauss's law can be used to prove this result.) (b) Find the capacitance of a copper sphere of radius 1.00 cm. (c) Find the capacitance of an isolated spherical conductor the size of the earth. (Although the earth stores the charge, it is not a single isolated conductor. Negative charge is stored on the ground and a roughly equal quantity of positive charge is spread through the lower atmosphere.) Please answer clearly. Thank you . Need it by today,

Explanation / Answer

a) V=K*Q/R=====>C=Q/V=R/K

b) C=R/K=1.11 E-12 farad

c) C=6.4 E6/9 E9= 7.11 E-4 fard

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