Transformation of resistors in a circuit

In summary, the capacitor 1 charges to 2 uC, the capacitor 2 charges to -22 uC, and the switch is closed in state 1. In state 2 the switch is open and current flows through the capacitor 1 and the capacitor 2. The amount of charge that flows through the wire with capacitor 2 is -22 uC.
  • #1
franktherabbit
12
1

Homework Statement


From the circuit diagram ( http://postimg.org/image/lldnr7mf7/ ) calculate the net charge flown through the capacitor 2.

Homework Equations


3. The Attempt at a Solution [/B]
I actually don't need to solve the full problem as i understand how, what i have trouble with is the first part. Below the circuit diagram there is a transformation diagram where i suppose we eliminated every generator that stays the same throughout the changes in the circuit. (In the text we first had switch open and then it closes. ##q1## is the flow thorough the capacitor 1 but let's not dwell on that.
My real questions are:
Where did ##R_6## go? That side is where the switch is so i guess that its disclusion has something to do with that but why exactly?
What exactly is the rule for getting ##R_a## and ##R_c## and why is ##R_B## exactly there?
I see that they are all calculated similarly, product of two resistors divided by the total sum of resistors and the resultant are connected in parallel, is that right? Is there a simpler diagram you can refer me to which uses this?
 
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  • #2
Can you upload an image to Physics Forums so we don't have to follow a link off-site to view it? For some reason I can't see the small version of the image on your image site, and can't pan the large version. It's better to upload here.

From what I can make out it's likely that a Δ-Y transform was performed on resistors R2, R4, and R5. Look up "Delta-Y transform". As for R6, if the reduced circuit pertains to the time when the switch is open, then the branch with the switch and R6 can be ignored as no current can flow through an open circuit.
 
  • #3
gneill said:
Can you upload an image to Physics Forums so we don't have to follow a link off-site to view it? For some reason I can't see the small version of the image on your image site, and can't pan the large version. It's better to upload here.

From what I can make out it's likely that a Δ-Y transform was performed on resistors R2, R4, and R5. Look up "Delta-Y transform". As for R6, if the reduced circuit pertains to the time when the switch is open, then the branch with the switch and R6 can be ignored as no current can flow through an open circuit.
Sure, here it is:
IMG_2263.jpg

And here is the original text:
"The switch is open in state 1 and then it closes. During the time until the stationary condition appears, ##+2uC## of charge flows through the wire with ##C_1## Calculate the amount that goes through the wire with ##C_2##."
Using this transfiguration we have gotten the same answer as the book gives. (##-22uC##). What do you think happened with ##R_6##? Why doesn't it have a role in the new circuit?
 
  • #4
franktherabbit said:
What do you think happened with ##R_6##? Why doesn't it have a role in the new circuit?
If the transformed circuit is meant to include the switch branch with ##R_6## then my conclusion would be that ##R_6## has been lumped together with ##R_A## for further calculations. That is, ##R_A## should be adjusted by adding to it the 600 Ω of ##R_6##.
 
  • #5
gneill said:
If the transformed circuit is meant to include the switch branch with ##R_6## then my conclusion would be that ##R_6## has been lumped together with ##R_A## for further calculations. That is, ##R_A## should be adjusted by adding to it the 600 Ω of ##R_6##.
Would you like me to post the full problem solution so you can see if we got something wrong since it does equal to the solution from the book?
 
  • #6
franktherabbit said:
Would you like me to post the full problem solution so you can see if we got something wrong since it does equal to the solution from the book?
You can present your solution here for checking. Be sure that each step is well annotated so that their purpose is clear. Images are okay for supporting material, but it is preferable to present calculations in text form that can be quoted and commented on by homework helpers.
 

FAQ: Transformation of resistors in a circuit

1. How do resistors affect the overall circuit?

Resistors regulate the flow of current in a circuit by providing resistance to the flow of electrons. This helps to control the voltage and current levels within the circuit.

2. What happens when resistors are added in series?

When resistors are added in series, their resistances are added together, resulting in a higher total resistance. This means that the current flowing through the circuit will decrease.

3. How are resistors connected in a parallel circuit?

In a parallel circuit, resistors are connected in such a way that they each have their own separate path for current to flow through. This results in a lower total resistance compared to when the resistors are connected in series.

4. What is the purpose of using different types of resistors in a circuit?

Different types of resistors have different resistance values and power ratings, making them suitable for different applications. For example, high power resistors are used in circuits that require high current and voltage capacities, while precision resistors are used in circuits that require accurate and stable resistance values.

5. Can resistors be used to change the voltage in a circuit?

Yes, resistors can be used as voltage dividers in a circuit to reduce the voltage level. This is achieved by connecting the resistor in series with a load, where the load receives a portion of the total voltage while the rest is dropped across the resistor.

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