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0 votes
36.7k views
in Physics by (24.0k points)

The key K (Fig. 94) is connected in turn to each of the contacts over short identical time intervals so that the change in the charge on the capacitor over each connection is small.

What will be the final charge qt on the capacitor?

1 Answer

+1 vote
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Best answer

Let us consider the steady-state conditions when the voltage across the capacitor practically does not change and is equal on the average to Ust.

When the key is switched to position 1, the charge on the capacitor will change during a short time interval Δt by

When the key is switched to position 2, the charge will change by

During cycle, the total change in charge must be zero:

Hence the voltage Ust and the capacitor charge qst in the steady state can be found from the formulas

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