Calculating Resistance at Multiple Points in a Resistor Network

In summary, the resistance at point a is 10 ohm, the resistance at point b is 15 ohm, and the resistance at point c is 10 ohm.
  • #1
Eucliwood
17
0
Homework Statement
Finding the resistance when probed at point bc, cd and da
Relevant Equations
Series and Parallel resistance equation derived from kirchhoff's law with application of ohm's law
Problem Statement: Finding the resistance when probed at point bc, cd and da
Relevant Equations: Series and Parallel resistance equation derived from kirchhoff's law with application of ohm's law

I genuinely don't know what to do on this one. The example our professor made isn't exactly clear and I haven't find any online solution. I just wanted to know how would one calculate the value from those points.
 

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  • #2
First of all, it's rude to post your figures sideways.

This is mainly a problem in learning to redraw circuits so as to recognize where you can combine elements. If you haven't yet learned how to do that, this problem is going to be tough.

What do you notice about the 10 ohm and 15 ohm resistors?
 
  • #3
A node is a point wherein 3 or more wires constitutes it and the connection is in parallel. I don't know what point to look. But, if i were look at point d the 10 and 15 ohm resistors are connected in parallel. Sorry for the image.
 
  • #4
I'd be glad if you were to include an example in resistors configuration with nodes on it. If it weren't much of a trouble. I cannot find a website that teaches network analysis with nodes embedded.
 
  • #5
First of all, it's rude to post your figures sideways.

This is mainly a problem in learning to redraw circuits so as to recognize where you can combine elements. If you haven't yet learned how to do that, this problem is going to be tough.
Eucliwood said:
A node is a point wherein 3 or more wires constitutes it and the connection is in parallel. I don't know what point to look. But, if i were look at point d the 10 and 15 ohm resistors are connected in parallel. Sorry for the image.
Since the 10 and 15 ohm resistors are in parallel, don't you think that would be a good first step in simplifying the circuit?
 
  • #6
phinds said:
First of all, it's rude to post your figures sideways.

This is mainly a problem in learning to redraw circuits so as to recognize where you can combine elements. If you haven't yet learned how to do that, this problem is going to be tough.

Since the 10 and 15 ohm resistors are in parallel, don't you think that would be a good first step in simplifying the circuit?
 

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  • #7

So is this right for Rab?
 

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  • #8
Eucliwood said:
So is this right for Rab?
No. There's a direct path from a to b and and a path that goes through c and d, that's parallel to the direct path.

I would redraw the circuit first with only the points a,b,c,d in it. and replacing all parallel resistances between those points with the equivalent resistance. You can than use that to compute the 3 resistances needed.
 

Related to Calculating Resistance at Multiple Points in a Resistor Network

1. What is a resistor network analysis?

A resistor network analysis is a method used to analyze and calculate the behavior of a network of interconnected resistors. It involves using various techniques and formulas to determine the equivalent resistance, current, and voltage of the overall network.

2. What is the purpose of a resistor network analysis?

The purpose of a resistor network analysis is to simplify a complex network of resistors into a single equivalent value, making it easier to understand and analyze. It also helps in designing and troubleshooting electronic circuits and systems.

3. What are some common techniques used in resistor network analysis?

Some common techniques used in resistor network analysis include series and parallel combination, voltage division, current division, Thevenin's and Norton's theorem, and Kirchhoff's laws.

4. How do you calculate the equivalent resistance of a resistor network?

To calculate the equivalent resistance of a resistor network, you can use the following formula:

Req = R1 + R2 + R3 + ... + Rn

where R1, R2, R3,... Rn are the resistances of each individual resistor in the network.

5. What are some practical applications of resistor network analysis?

Resistor network analysis is used in a wide range of applications, including electronic circuit design, power distribution systems, signal processing, sensor networks, and telecommunications. It is also essential in analyzing and designing complex systems such as computers, control systems, and medical devices.

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