AP PHY Circuit Help: Solve 5 Questions

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SUMMARY

The discussion focuses on solving a circuit analysis problem involving capacitors and resistors. Key calculations include determining total capacitance, current through a 10-ohm resistor, voltage between points A and B, charge stored on a 6 µF capacitor, and the effect of cutting a wire in the circuit. The total capacitance is computed from two capacitors in series, while the current through the resistors is analyzed under equilibrium conditions. The voltage drop and charge calculations utilize fundamental circuit laws, confirming the importance of understanding capacitor behavior in DC circuits.

PREREQUISITES
  • Basic understanding of circuit theory, including Ohm's Law
  • Knowledge of capacitor behavior in series and parallel configurations
  • Familiarity with energy stored in capacitors and charge calculations
  • Ability to analyze circuits using Kirchhoff's laws
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  • Study the principles of capacitors in series and parallel configurations
  • Learn about Kirchhoff's Voltage and Current Laws for circuit analysis
  • Explore the concept of electrical equilibrium in circuits
  • Investigate energy storage in capacitors and related formulas
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Students studying AP Physics, electrical engineering students, and anyone interested in circuit analysis and capacitor behavior in electrical circuits.

RyanCouillard
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This one has me stumped. Here is the circuit
http://img90.imageshack.us/img90/6204/circuitdn1.jpg

I will go through all the 5 questions.

A) Calculate the total capacitance of the circuit.
18 uF=.5CV^2, 36uF=CV^2, 36uF/36v=1uColoumb. Correct?

B) Calculate the current in the 10 ohm resistor.
This is where we're stuck, there's going to be current coming off the capacitors, but which was will it flow? They have more potential difference than the battery, and I'm not sure how to figure that part out.

We have - I(20 ohm + 10 ohm)=6v, which would be 6/30=I. But this is only one loop, and depending on where the current flows the 20 ohm resistor will have a different current.

C) Calculate the voltage between A & B. (Forgot to add it, it is at the junction of the capacitors on either side.
(20 ohm) (6/30A)=4v + 12v (capacitors in series) = 18v

D) Calculate the charge stored on one plate of the 6 uF capacitor.
Ue=.5QV = 12uF=QV, and 12uF/6v=2uC

E)Wire is cut at p (Point b/w two capacitors), will the voltage increase, decrease, or remain the same?
It would decrease, and it would be 4v after? (6/30A)(20Ohms)=4v.

Thanks in advance, I have no idea on B.
 
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A. I don't think the circuit HAS a capacitance. I suppose you are meant to compute the capacitance of the 2 capacitors in series. I don't understand your answer at all, but the right number isn't in there.

B I suppose you're meant to calculate the current after the circuit is in equilibrium. In that case there is no more current going through the capacitors, which should make it easy to compute the current through the resistances.

C is easy if you solved B

E Once the circuit is in equilibrium, there's no current going through the capacitors, so what will happen if you cut the wire through them?
 

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