Two concentric spherical shells are hooked up to a battery (voltageV = 10.0 V) and charged. The inner shell becomes negatively charged while the outer shellbecomes positively charged. The radius of the outer shell is three times the radius of theinner shell. The capacitance of the system is C = 10.0 pF.a. Assuming this has been connected a long time, how much charge is on the outer shell?b. A particle of charge q = 2.0 μC (microcoulombs) and mass m = 4.0 x 10^-7 kg gets firedfrom the inner shell towards the outer shell. Ignoring gravity, what is the minimuminitial velocity the particle must have, to ensure that it reaches the outer shell?c. What is the radius of the inner sphere? Derive any formulas you use from basic lawssuch as Gauss’ Law or Coulomb’s Law.
Two concentric spherical shells are hooked up to a battery (voltage
V = 10.0 V) and charged. The inner shell becomes negatively charged while the outer shell
becomes positively charged. The radius of the outer shell is three times the radius of the
inner shell. The capacitance of the system is C = 10.0 pF.
a. Assuming this has been connected a long time, how much charge is on the outer shell?
b. A particle of charge q = 2.0 μC (microcoulombs) and mass m = 4.0 x 10^-7 kg gets fired
from the inner shell towards the outer shell. Ignoring gravity, what is the minimum
initial velocity the particle must have, to ensure that it reaches the outer shell?
c. What is the radius of the inner sphere? Derive any formulas you use from basic laws
such as Gauss’ Law or Coulomb’s Law.
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