# RC Circuit Help

1. Mar 27, 2008

### cp51

[SOLVED] RC Circuit Help

1. The problem statement, all variables and given/known data
What is the potential of point a with respect to point b in the circuit shown when switch S is open? Which point, a or b is at a higher potential? b.) What is the potential (after a long time) of point a with respect to ground when switch S is closed? How much does the charge in each capacitor change when S is closed?
R1 = 6 Ohms, C1 = 6microFarads, C2 = 3 microFarads, R2 = 3 ohms, C3 = 6 microFarads
V = 18V

Im sorry for the poor drawing

2. Relevant equations
V = IR
C = Q/V

3. The attempt at a solution
Ok, I know the solution to this question, I just don't know why...
A.) Apparently this circuit simplifies to a circuit of just the capacitors, the resistors drop out and you end up with C1 and C2 in parallel, connected to C3. Why do the resistors drop out?
From this you can combine all 3 resistors into 1 resistor Ctotal = 3.6 microFarad, and so
Q = CV = (3.6microF)(18V) = 6.48x10^-5
then combining C1 and C2 to get C12 = 9microF, i can get the voltage drop accross the capacitors = Q/9microF = 7.2V

B.) When the switch is closed, aparently all the voltage drop is accross the bottom capacitor, C3... why???

Thank you very much for any help

#### Attached Files:

• ###### circuit.bmp
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2. Mar 29, 2008

### CEL

What is the current in each resistor when the switch is open? What is the voltage drop across each resistor?

3. Mar 29, 2008

### cp51

well, as I understand it:

Once C1 and C2 are fully charged no current flows through the two branches because the capacitors act as an open circuit. So that would mean that the current through the reisitors is 0 and therefore no voltage drop.

However, because the two capacitors are now charged, isnt there a volage difference between the two capacitors? So does that cause current to flow through o C3?? If so, doesnt that also require current to flow through R2??? That is how I see it, which is apparently wrong cause it isn't the answer... heh...

4. Mar 29, 2008

### CEL

After the switch is closed, there is a direct path from the source V to C3 through the resistors R1 and R2, so C3 will be charged until its voltage reaches V. During the transient, capacitors C1 and C2 discharge trough R2 into C3.

Last edited: Mar 29, 2008
5. Mar 30, 2008

### cp51

ok, im still not getting why when the switch is open, the circuit simplifies to a circuit without resistors...

6. Mar 30, 2008

### CEL

If there is no current, there is no voltage drop on the resistor.

7. Mar 30, 2008

### cp51

omg, im so dumb... i totally didnt think of it that way... Thanks.

I started to look at it as charge and stuff, and I kinda thought i figured it out, but man...

Thanks a lot.