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Unformatted text preview: 7. Assuming conservation of volume, we ﬁnd the radius of the combined spheres, then use C = 4πε0 R to
ﬁnd the capacitance. When the drops combine, the volume is doubled. It is then V = 2(4π/3)R3 . The
new radius R is given by
(R )3 = 2 R 3 ,
R = 2 1/ 3 R .
The new capacitance is
C = 4πε0 R = 4πε0 21/3 R = 5.04πε0 . ...
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