Solve Simple Circuit Question: Equivalent Resistance Calculation

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In summary, the conversation discusses finding the equivalent resistance for a simple circuit using the equivalence equations for parallel and series resistors. The poster shares their attempt at a solution and asks for clarification on how to treat certain resistors. The responder suggests posting the original circuit for a more accurate solution and hints at the importance of current traveling the path of least resistance.
  • #1
jmcmillian
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Homework Statement


Find the equivalent resistance for this simple circuit.
(Image Attached)

Homework Equations


Equivalence Equations
In parallel: (1/R1 + 1/R2 + ... +1/Rn)^-1
In parallel (2 Resistors): (R1*R2)/(R1+R2)
In Series: R1+R2+...+Rn

The Attempt at a Solution


This was a much more complex circuit but I have it down to this.

My question...How do you treat R2 with Respect to R3 and R1? Could they be seen as all in parallel?
 

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  • #2
Once your posted image is approved I will try to help.
 
  • #3
Hint: Current travels the path of least resistance
 
  • #4
You should post the original circuit. What you have now is just a short circuit across the current source. You may have made a mistake in the reduction.
 

1. How do I calculate the equivalent resistance in a simple circuit?

To calculate the equivalent resistance in a simple circuit, you can use the formula R = R1 + R2 + R3 + ..., where R1, R2, R3, etc. are the individual resistances in the circuit. Simply add up all the resistances in the circuit to get the equivalent resistance.

2. What is the purpose of calculating equivalent resistance in a circuit?

The purpose of calculating equivalent resistance in a circuit is to simplify the circuit and make it easier to analyze. Instead of having multiple resistors in a circuit, we can calculate the equivalent resistance and treat the circuit as if it only has one resistor. This makes it easier to understand and solve problems in the circuit.

3. Can the equivalent resistance in a circuit ever be lower than the lowest individual resistance?

No, the equivalent resistance in a circuit can never be lower than the lowest individual resistance. In fact, it will always be equal to or greater than the lowest resistance. This is because resistors in parallel have an overall lower resistance compared to resistors in series, so adding resistors in parallel will always decrease the equivalent resistance.

4. How do I calculate equivalent resistance when there are both series and parallel resistors in a circuit?

When there are both series and parallel resistors in a circuit, you can use the equivalent resistance formula for series and parallel circuits. For series resistors, use the formula R = R1 + R2 + R3 + ..., and for parallel resistors, use the formula 1/R = 1/R1 + 1/R2 + 1/R3 + ... . Once you have calculated the equivalent resistance for each type of circuit, add them together to get the overall equivalent resistance for the entire circuit.

5. Is there a limit to the number of resistors that can be added in series or parallel in a circuit?

Technically, there is no limit to the number of resistors that can be added in series or parallel in a circuit. However, as you add more resistors, the equivalent resistance will decrease for parallel resistors and increase for series resistors, making the circuit more complex to analyze. It is generally recommended to limit the number of resistors in a circuit to make it easier to understand and solve problems.

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