Initially, the switch in the figure (Figure 1) is in position A and capacitors C2 and C3 are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across EACH capacitor if V=100 Volts?
Initially, charge on C1 is q = CV = 100 * 15 = 1500 uC
Also, the combined capacitance of C2 and C3 in series is 20*30/(20+30) = 12 uF
When the switch is flipped, we know two things:
potential across the 2-3 combo is the same as the final potential of C1 (because they are in parallel), and the total charge is still 1500 uC
So...
total charge = 15 * V + 12 * V = 1500
V = 55.556 Volts
Charge remaining on C1 = CV = 15 * 55.556 = 833.33 uC
C2 and C3 each have charge = 12 * 55.556 = 666.67 uC
and potential of C2 = q/C = 666.67 / 20 = 33.33 Volts
potential of C3 = 666.67 / 30 = 22.22 V
in summary
C1: final charge 833.33 uC, final potential 55.56 V
C2: final charge 666.67 uC, final potential 33.33 V
C3: final charge 666.67 uC, final potential 22.22 V
Initially, the switch in the figure (Figure 1) is in position A and capacitors C2 and...
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