Capacitor Charging, Energy Flow

AI Thread Summary
The discussion revolves around understanding energy flow in two capacitor charging scenarios involving a steady voltage source from a battery. In Scenario A, a resistor (R1) is placed between the battery (Vb) and capacitor C1, while in Scenario B, a resistor (R2) is placed between capacitors C2 and C3. The initial potential difference in Scenario B is noted to be double that of Scenario A, yet both scenarios reach the same final voltage across the capacitors. The key question is how to calculate the energy that flowed through the resistors during the charging process, with a focus on whether to apply Ohm's Law and measure current and voltage or to use capacitor energy calculations. Clarification on the relationship between energy flows in the two scenarios is sought, along with visual diagrams for better understanding.
kboi
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Gentlemen and Ladies - Requesting a little clarification on this.

Heres the setup: I have "steady" voltage source - In this case from a battery (Vb)
Have three capacitors (C1, C2, C3). Have 2 Resistors R1 and R2.

Here are the relationships:
Capacitance Voltage Resistance
C1 = C2 = C3 1/2Vb = Vc1 = Vc3 = 1/3Vc2 R1 = R2

Two scenarios:
Scenario A:
Connect Vb in Parallel with Vc1 placing R1 in between.

Scenario B:
Connect Vc2 in Parallel with Vc3 placing R2 in between.

Initial Potential Difference in Scenario B is Double that of Scenario A.

++++++++++++++

Here are the Voltage relationships AFTER "running" the above Scenarios.
Vb = Vc1 = Vc3 = Vc2

Even though we have raised C1 and C3 to the same Voltage - My question comes down to how much energy actually flowed through R1 and R2 during this process?

Would we calculate this using Ohms Law and Measure the Current and Voltage at specific intervals and then use I^2R or should we just use capacitor energy calculations on C1 and C3.

The heart of the question is what's the relation between "energy flows" between the 2 Scenarios?
 
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It would help if you provided diagrams to remove ambiguities such as
kboi said:
Connect Vb in Parallel with Vc1 placing R1 in between.
Both arrangements shown below start with two batteries in parallel and then a resistor is placed "in between". :oldconfused:

Circuits.png
 
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