Physics · Capacitors and capacitance, the combination of capacitors in series and parallel
Consider a huge charge reservoir at potential volts. A spherical capacitor is br
Consider a huge charge reservoir at potential \( V=200 \) volts. A spherical capacitor \( C_{1}=40 n F \) is brought in contact with the charge reservoir and then removed. Afterwards, another spherical capacitor \( C_{2}=30 n F \) is brought in contact with \( C_{1} \) and removed. This process is repeated many times. Assume that potential of reservoir does not change during this exercise. Then the charge in \( (\mu C) \) on \( C_{2} \) after a very long time is :
- A. 6
- B. 3
- C. 9 \)
- D. 12
Step-by-step solution
The process reaches steady state where the charge on C2 after many cycles is given by q = (C2/C1) * (C1*V) = (C2/C1)*Q0 = (30/40)*8 μC = 6 μC.
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