A conducting sphere of radius r_1 = 0.37 m has a total charge of Q = 3.2 mu C. A

Question

A conducting sphere of radius r_1 = 0.37 m has a total charge of Q = 3.2 mu C. A separate uncharged conducting sphere of radius r_2 = 0.38 m joint to the original by a thin conducting wire The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two Q_2 after they are connected, in coulombs? What is the surface charge density of the second sphere, sigma_2. after they are connected in coulombs per square meter? sigma_2=___________________________

Explanation / Answer

a] Since the potential on both spheres will be equal, charge Q2 will be proportional to its radius.

Q2 = 3.2e-6*0.38/[0.38+0.37]

= 1.621*10^-6 C

b] surface charge density = 1.621*10^-6/[4*pi*0.38^2]

= 8.933*10^-7 C/m^2

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