Kirchhoff's Rule: Including Capacitors in Loop Problems

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SUMMARY

This discussion focuses on applying Kirchhoff's loop rule to circuits that include capacitors. The loop rule asserts that the sum of voltages in a closed loop equals zero. To incorporate capacitors, one must understand the relationship between capacitance and voltage, specifically using the formula \( V = \frac{Q}{C} \), where \( V \) is voltage, \( Q \) is charge, and \( C \) is capacitance. This understanding allows for accurate calculations in loop problems involving capacitors.

PREREQUISITES
  • Understanding of Kirchhoff's loop rule
  • Basic knowledge of capacitors and capacitance
  • Familiarity with voltage and charge relationships
  • Ability to solve circuit problems involving resistors
NEXT STEPS
  • Study the formula for capacitance and its application in circuits
  • Learn how to derive voltage across capacitors in loop problems
  • Explore examples of Kirchhoff's rules applied to circuits with capacitors
  • Investigate the effects of capacitors on transient responses in circuits
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Students of electrical engineering, circuit designers, and anyone looking to deepen their understanding of circuit analysis involving capacitors and Kirchhoff's laws.

physics213
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I have a question about Kirchhoff's rule, specifically the "loop rule". How do you take capcitors into consideration when doing these problems. I know how to deal with voltages and resistors, but my textbook doesn't mention what to do when capcitors are in the loop.

Thanks.
 
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The loop rule states that the voltages in a loop add up to 0. Do you know the formula for the capacitance of a capacitor? From it you can find an expression for the voltage.
 
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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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