How Do You Calculate Net Resistance in a Triangular Network?

Series and ParallelIn summary, the problem asks for the net resistance between points a and c in a circuit with resistors R and R' connected in series and parallel. The equation for resistors in series is Req = R1 + R2 + R3 and for resistors in parallel is 1/Req = 1/R1 + 1/R2 + 1/R3. The answer is not simply R as there are multiple paths from a to c. To solve, the circuit must be redrawn and the equations for series and parallel resistors must be applied.
  • #1
GoldWing
8
0

Homework Statement


Assuming R = R' in the network shown above, determine the net resistance between the points a and c. Express your answer as a number times R.
b. Assuming R = R', determine the net resistance between the points a and b.
c. Now suppose R' = 2.5R, and find the net resistance between points a and b.
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Homework Equations


Req=R1+R2+R3
For resistors in series

1/Req= 1/R1+1/R2+1/R3
For resistors in parallel

The Attempt at a Solution


I tried to redraw the circuit, but I'm not sure I did it right. Also, I would think that the resistance would just be R because there is only one resistor from a to c, but that seems too easy. Any help would be appreciated.
 
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  • #2
The answer is not R as there is certainly more than one path from a to c. You really should show at least some of your attempt(s) even if they didn't pan out, and not just say that you tried this or that. We need to see how you've approached the problem in order to know how best to help.

See the thread: Combining Resistors
 

Related to How Do You Calculate Net Resistance in a Triangular Network?

What is a Triangular Resistance Network?

A Triangular Resistance Network is a type of electrical circuit that is composed of three resistors arranged in a triangular shape. It is also known as a delta network.

What are the advantages of using a Triangular Resistance Network?

One advantage of using a Triangular Resistance Network is that it has a higher tolerance for fault conditions, making it more reliable. It also allows for higher power handling capabilities.

How does a Triangular Resistance Network differ from a Series or Parallel Circuit?

In a Triangular Resistance Network, the resistors are connected in a triangular shape, whereas in a series circuit, they are connected end-to-end, and in a parallel circuit, they are connected side-by-side.

What are some applications of Triangular Resistance Networks?

Triangular Resistance Networks are commonly used in power distribution systems, as well as in audio amplifier circuits and electronic filters. They are also used in industrial control systems and motor control circuits.

How do you calculate the total resistance of a Triangular Resistance Network?

The total resistance of a Triangular Resistance Network can be calculated by using the formula: R total = R1 + R2 + R3, where R1, R2, and R3 are the resistances of each individual resistor in the network.

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