What Happens to the Voltage When Capacitors Are Connected Together?

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SUMMARY

When a 50 pF capacitor and a 200 pF capacitor, both charged to 2.6 kV, are connected together in parallel (positive to positive and negative to negative), the voltage across each capacitor remains unchanged at 2.6 kV. However, if the capacitors are connected with reversed polarity, the final voltage across each capacitor must be calculated using the conservation of charge principle, where the total charge is the sum of the individual charges (Q1 + Q2 = Qtotal). The equilibrium voltage can be determined by solving the equations V1 = Q1/C1 and V2 = Q2/C2, leading to insights on energy conservation before and after the connection.

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  • Understanding of capacitor charging and discharging principles
  • Knowledge of the conservation of charge
  • Familiarity with basic electrical formulas (Q = VC)
  • Ability to solve systems of equations
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renanpo
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A 50 pF capacitor and a 200 pF capacitor are both charged to 2.6 kV. They are then disconnected from the voltage source and are connected together, positive plate to positive plate and negative plate to negative plate. Find the resulting potential difference across each capacitor.

I can find Q on each capacitor by using Q=VC. The Q total will be Q1+Q2, but I am not sure what to do from here. Could anyone give me some help? Thank you
 
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If they have the same starting voltage and are connected together in parallel, there wil be no change in voltage, right? The harder question is what happens if they are reversed in polarity before being connected. Quiz question -- what is the final voltage if they are connected with reverse polarity. Harder quiz question -- discuss the energy stored before and after the connection -- where did the energy go?
 
conservation of charge:
q1+q2=qtotal
if the polars are different, then... just make one negative.
add the initial charges and you'll get qtotal
then, at equilibrium,
V1=V2
q1/C1=q2/C2
q1+q2=qtotal
solve the system, find V1 using V1=q1/C1
now you have final charge and final voltage, you can find anything from there.
 
Last edited:
Another way of looking at the question as set:

If the voltage is the same across both, there will be no potential difference, there fore no charge will flow from one to t'other, therefore no overall change at all.

Is the question right or were they charged in seriesor as berkemann sadi is it a case of reversing the capacitors?

EaGG
 

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