# Total resistance in parallel/serial hybrid circuit

#### Ulfalizer

Joined Jun 29, 2005
5
How do I calculate the total resistance in the following circuit? I can't find any way to break it up into strictly parallel, serial parts while keeping the resistor terminals that should be electrically common so.

Rich (BB code):
 |----------------|
|        |
|       /  \
|       /   \
|      r1    r2
|      /     \
v1     |-----r3-----|
|      \     /
|      r4    r5
|       \   /
|       \  /
|        |
|----------------|
The r components are resistors and the v component is a voltage source. Make up whatever numbers you wish for the voltage and resistances, I'm only interested in how you solve it.

Any help appreciated,
Ulf

#### hgmjr

Joined Jan 28, 2005
9,027
Originally posted by Ulfalizer@Jul 10 2005, 06:31 PM
How do I calculate the total resistance in the following circuit? I can't find any way to break it up into strictly parallel, serial parts while keeping the resistor terminals that should be electrically common so.

Rich (BB code):
 |----------------|
|                |
|              /   \
|             /     \
|           r1       r2
|           /          \
v1         |-----r3-----|
|           \          /
|           r4       r5
|             \     /
|              \   /
|                |
|----------------|
The r components are resistors and the v component is a voltage source. Make up whatever numbers you wish for the voltage and resistances, I'm only interested in how you solve it.

Any help appreciated,
Ulf
[post=9016]Quoted post[/post]​
Hi Ulfalizer,

You have come to a great place to pose that question. AAC has a terrific tutorial on this very subject. One way to solve this type of problem is to use the wye-to-delta conversion. This technique is well covered in the tutorial. Just follow the link below to access the material.

Y to delta conversion

hgmjr

#### Ulfalizer

Joined Jun 29, 2005
5
Originally posted by hgmjr@Jul 11 2005, 12:46 AM
Hi Ulfalizer,

You have come to a great place to pose that question. AAC has a terrific tutorial on this very suibject. One way to solve this type of problem is to use the wye-to-delta conversion. This technique is well covered in the tutorial. Just follow the link below to access the material.

Y to delta conversion

hgmjr
[post=9017]Quoted post[/post]​
Thanks! Those equations weren't even that hard to derive from the fact that the resistance between any two terminals should be the same in both forms. Not that I would have thought of it in the first place

Ulf

#### abbas_6007

Joined Sep 7, 2009
5
Hello.
i am a new member and i want to give u answer frm my mind.
first multiply all the resistance and then get LCM of it then u will get a parrallel equation, putting all the resistances values in that equation.
reply me if some problem occur.