Finding the potential across capacitors in capacitor-only circuits

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SUMMARY

The discussion focuses on analyzing potential differences in capacitor-only circuits using Kirchhoff's Voltage Law (KVL). A participant attempted to determine charge distribution and calculated the potential difference between points M and N as Q1/C2. However, they were informed of a sign error in their initial equations, which led to an incorrect solution. This highlights the importance of careful equation setup in circuit analysis.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Basic knowledge of capacitor circuits
  • Familiarity with charge distribution concepts
  • Ability to solve algebraic equations in electrical contexts
NEXT STEPS
  • Review the principles of Kirchhoff's Voltage Law in depth
  • Study capacitor charge distribution and its implications in circuits
  • Practice solving circuit equations with a focus on sign conventions
  • Explore common mistakes in circuit analysis and how to avoid them
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing capacitor circuits will benefit from this discussion.

Gourab_chill
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Homework Statement
I have been asked to find the potential difference between points M and N in the given figure. The circuit is in the attachment.
Relevant Equations
Q=CV
I tried to attempt it by applying KVL to both the loops.
soln.PNG

I tried to find a possible charge distribution for the capacitors. I guess this is right.
soln1.PNG

On solving I get:
attempt.png

from what I know potential difference between M and N is Q1/C2
but the solution is given as:
soln2.PNG

Where am I wrong?
 

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  • ques.PNG
    ques.PNG
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Welcome to PF!

You have a sign error in one of your first two equations.
 
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TSny said:
Welcome to PF!

You have a sign error in one of your first two equations.
thanks
 

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