Calculate Equivalent Resistance in an Equilateral Triangle Electric Circuit

In summary, the problem presents a circuit with three 66.0 Ω resistors connected in an equilateral triangle. The task is to find the equivalent resistance between any two points of the triangle. After discussing the possibility of series and parallel combinations, it is suggested to make one series and one parallel combination to find the equivalent resistance. It is also mentioned that the circuit may resemble a delta of resistors.
  • #1
jmatthews1991
17
0

Homework Statement


Three 66.0 Ω resistors are connected across the sides of an equilateral triangle ABC as shown in the figure.
What is the equivalent resistance between any two points AB, BC, AC of this circuit?



Homework Equations





The Attempt at a Solution


I don't understand. They give me a triangle with the same resistance at each point, and there asking for the resistance between any of the two points
 
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  • #2
Do you see any series or parallel combinations you could make?
 
  • #3
xcvxcvvc said:
Do you see any series or parallel combinations you could make?
Series
 
  • #4
jmatthews1991 said:
Series

Well, make them! What problems are you having? Show some work and ask questions.
 
  • #5
I can't show any work because I don't understand what I am being asked to find. If there series, to find the equivalent resistance you just add them because there series
 
  • #6
jmatthews1991 said:
I can't show any work because I don't understand what I am being asked to find. If there series, to find the equivalent resistance you just add them because there series

you need to find the equivalent resistance by making one series and one parallel combination (after the series one).
 
  • #7
Is this a delta of resistors by chance? Something like: /_\ with a resistor on each wire of the delta?
 

FAQ: Calculate Equivalent Resistance in an Equilateral Triangle Electric Circuit

What is an electric circuit?

An electric circuit is a path or loop through which electricity can flow. It typically consists of a power source, such as a battery or outlet, conductors, and a load, which is the device that uses the electricity.

What are the different types of electric circuits?

There are three main types of electric circuits: series, parallel, and series-parallel. In a series circuit, the components are connected in a single loop, with the same amount of current flowing through each component. In a parallel circuit, the components are connected in separate branches, with the voltage across each component being the same. A series-parallel circuit combines elements of both series and parallel circuits.

How do I calculate the voltage, current, and resistance in an electric circuit?

According to Ohm's Law, voltage (V) is equal to current (I) multiplied by resistance (R). This can be written as V=IR. To calculate any of these values, you need to know the values of the other two. You can also use the equations V=IR and P=IV (where P is power) to solve for other values, such as power or resistance.

What is the difference between AC and DC circuits?

AC (alternating current) circuits have a constantly changing flow of electricity, while DC (direct current) circuits have a consistent flow of electricity in one direction. AC circuits are typically used for long-distance power transmission, while DC circuits are commonly used in electronic devices.

How can I troubleshoot problems in an electric circuit?

If there is an issue with an electric circuit, the first step is to check the power source and make sure it is functioning properly. Then, check all connections to ensure they are secure and free of any damage or corrosion. If the problem persists, you may need to use a multimeter to test the voltage and current at different points in the circuit to identify where the issue is occurring.

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