Minimizing the voltage drop across a capacitor (solution shown)

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SUMMARY

The discussion centers on understanding the voltage relationships in a capacitor circuit, specifically the equation V1 = V0 - V2. The user seeks clarification on how this equation is derived and why V3 is not included in the calculation. The relevant equations discussed include Q = Ceq * V, which relates charge to equivalent capacitance and voltage. The principles of capacitors in series and parallel configurations are also referenced, emphasizing the total potential difference in the circuit.

PREREQUISITES
  • Understanding of capacitor configurations (series and parallel)
  • Familiarity with Kirchhoff’s laws
  • Knowledge of voltage and charge relationships in capacitors
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of voltage equations in capacitor circuits
  • Learn about Kirchhoff’s voltage law in depth
  • Explore the concept of equivalent capacitance in complex circuits
  • Investigate practical applications of capacitors in electronic circuits
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Students studying electrical engineering, electronics enthusiasts, and anyone looking to deepen their understanding of capacitor behavior in circuits.

Sunwoo Bae
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Homework Statement
Shown in the text
Relevant Equations
Q = CV

capacitors in series
capacitors in parallel
The following is the question and the solution to the question.
1643444698737.png


I understand the solution to the part where you find the Ceq and derive Qeq from the equation Q = Ceq*V.
However, I do not understand where V1 = V0-V2 come from.
When calculating the minimum voltage, how do you come up with the equation V1 = V0-V2, and why is V3 not taken to account?
 
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Sunwoo Bae said:
I do not understand where V1 = V0-V2 come from.
given and total potential difference is always same.
Here given potential difference is ##V_0## and total potential difference is ##V_1+V_2##

So ##V_0=V_1+V_2##
 
Sunwoo Bae said:
Homework Statement:: Shown in the text
Relevant Equations:: Q = CV

capacitors in series
capacitors in parallel

The following is the question and the solution to the question.
View attachment 296217

I understand the solution to the part where you find the Ceq and derive Qeq from the equation Q = Ceq*V.
However, I do not understand where V1 = V0-V2 come from.
When calculating the minimum voltage, how do you come up with the equation V1 = V0-V2, and why is V3 not taken to account?
Are you familiar with Kirchhoff’s laws?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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