How to calculate current of a resistor inside of another parallel resistor?

In summary, the current through a resistor "inside" of another parallel resistor is equivalent to the current through the series resistor.
  • #1
pugfug90
118
0
How to calculate current of a resistor "inside" of another parallel resistor?

The 1st image is how he drew it for us, no text.. I guess because it's quite complicated.
He asks a bunch of questions, I've answered..
1. Equivalent resistance of R3 and R4=5 ohms
2. combined resistance of R6 and R7=9 ohms
3. combined resistance of R9 and R10? =9 ohms
4. equivalent resistance from D to E? 3 ohms
5. Equivalent resistance from B to E?
---
this one was kind of tricky.. but I think I got it right.. 5 ohms? I calculated the equivalent resistances of R(3,4) and R(6,7,8,9,10), added it to R5.. Now, R(3-10) acts parallel to R2... blah blah, 5 ohms for R(2-10).
6. total resistance? 5 ohms of the parallels and 2 and 1 makes 8.
7. total current? 3A
8. Potential drop occurs across R1? 6V
9. Drop in potential from B to E? 15V
10. Current in R2? 1.5A
:confused: 11
Current in R5? How come I got R2 but not R5?
"9. Drop in potential from B to E? 15V"
Vt in parallel is equal to "everything", by everything, meaning "one and one".. or something.. So yeah, I'm positive that V2 is 15V.. and V(3-10) is 15V.. But how do I find the V5 to find out the I5.. Thanks..
--
Also just figured that I(3-10)=1.5A..
"$ 1 5.0E-6 10.391409633455755 50 5.0 43
w 64 368 64 208 0
v 64 208 64 176 0 0 40.0 24.0 0.0
w 64 176 64 96 0
w 64 96 144 96 0
r 144 96 176 96 0 2.0
w 176 96 272 96 0
w 272 96 272 192 0
r 272 192 272 240 0 10.0
w 272 240 272 368 0
w 272 368 208 368 0
r 208 368 176 368 0 1.0
w 176 368 64 368 0
w 272 96 480 96 0
w 480 96 480 112 0
w 480 112 416 112 0
w 480 112 544 112 0
r 544 112 544 144 0 10.0
r 416 112 416 144 0 10.0
w 416 144 480 144 0
r 480 144 480 176 0 2.0
w 544 144 480 144 0
w 480 176 544 176 0
w 480 176 416 176 0
r 416 176 416 192 0 7.0
r 544 176 544 192 0 6.0
w 416 192 416 208 0
w 544 192 544 208 0
r 416 208 416 224 0 2.0
r 544 208 544 224 0 3.0
w 416 224 480 224 0
w 480 224 480 208 0
r 480 208 480 192 0 9.0
w 480 176 480 192 0
w 544 224 480 224 0
w 480 224 480 368 0
w 480 368 272 368 0"
http://www.falstad.com/circuit/
This has confirmed my other answers.. still want to know number 11 and past, how to do them.
 

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  • #2
Meh.. anyhow, I came upon kind of a breakthrough..
I got 15V for the voltage of the non serialized resistors.. An in a parallel, all "total" resistors have equal voltage.. So V2 equals V(3-10[sans 2])
15V=V2=V(3-10[sans2)..
With V2, and te given R2, I got I2 of 1.5A.. and in a circuit, total current is equal to current of the series, or the sum of the parallel's.. So if It=3A..and I2=1.5A.. V(3-10[sans2])=1.5A.. and since R5 is in a series with R(3-4), R(6-10), it's current is equivalent to the other's.. So V5=1.5A?? And yeah..couple hours til I get to his class anyhow..
 
  • #3
Case closed..and the rest of the answers that I came up with match the falstad.com data thing;;:)
 

1. How do I calculate the total current in a parallel resistor circuit?

To calculate the total current in a parallel resistor circuit, you must first calculate the individual currents of each resistor using Ohm's Law (I=V/R). Then, you can add these currents together to find the total current.

2. What is the formula for calculating the current in a resistor inside another parallel resistor?

The formula for calculating the current in a resistor inside another parallel resistor is the same as for any other resistor in a parallel circuit. It is I=V/R, where I is the current, V is the voltage, and R is the resistance of the specific resistor you are calculating for.

3. Can I simply add the resistances of the two parallel resistors to calculate the total resistance?

No, adding the resistances of the two parallel resistors will not give you the total resistance of the circuit. In a parallel circuit, the total resistance is less than the smallest individual resistance. To calculate the total resistance, you can use the formula 1/Rt = 1/R1 + 1/R2, where Rt is the total resistance and R1 and R2 are the individual resistances.

4. How does the current behave in a parallel resistor circuit?

In a parallel resistor circuit, the current splits into multiple branches, with each branch having a different current value. The total current entering the parallel circuit is equal to the sum of the currents in each branch.

5. What is the difference between a series resistor circuit and a parallel resistor circuit?

In a series resistor circuit, the resistors are connected one after the other, with the same current flowing through each resistor. In a parallel resistor circuit, the resistors are connected side by side, with the total current splitting into multiple branches, each with a different current value. Additionally, the total resistance in a series circuit is the sum of the individual resistances, while in a parallel circuit, it is less than the smallest individual resistance.

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