How Do I Calculate Equivalent Resistance Without Voltage?

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In summary, the approximate equivalent resistance of the five resistors in the given circuit can be found by adding the resistors in series and using the product/sum formula for resistors in parallel. The voltage is not needed to calculate equivalent resistance. It is recommended to start from the farthest point from the battery when solving for equivalent resistance.
  • #1
tlrmaus
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Homework Statement


What is the approximate equivalent resitance of the five resistors shown in the circuit show below?
http://img515.imageshack.us/i/circuit.png/

Homework Equations


The Attempt at a Solution


How do I solve this without voltage given?
 
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  • #2
equivalent resistance doesn't depend on the voltage. just add the resistors (using parallel and series) to obtain Req

also note its easier to start from the farthest point from the battery
 
  • #3
which ones would be in parallel and series? and what do you mean by starting from the farthest point of the battery? start at the 2ohms resistor?
 
  • #4
if the resistors are on the same "line" (no branches between them) they are in series.
-the equivalent resistance of the two resistors is the Sum (i.e. R1+R2)
if the resistors are not on the same "line" yet they share the same nodes. (i.e. they are connected to each other though a node on both sides). They are in parallel.
-the equivalent resistance of the two resistors is the product/sum (i.e. R1(R2)/(R1+R2).
 
  • #5


Without voltage given, it is not possible to accurately calculate the equivalent resistance of the circuit. The equivalent resistance depends on the voltage applied and the specific values of the resistors in the circuit. Without this information, it is not possible to accurately determine the equivalent resistance. The circuit can be simplified using series and parallel resistor rules, but the final equivalent resistance will still depend on the voltage applied.
 

FAQ: How Do I Calculate Equivalent Resistance Without Voltage?

What is equivalent resistance?

Equivalent resistance is the total resistance of a circuit when all individual resistors are combined into one equivalent resistor. It is measured in ohms and can be calculated using Ohm's law.

Why is finding equivalent resistance important?

Finding equivalent resistance allows us to simplify complex circuits and analyze them more easily. It also helps in determining the overall current and voltage in a circuit.

How do you calculate equivalent resistance for resistors in series?

For resistors in series, the equivalent resistance is equal to the sum of individual resistances. This can be represented by the formula: Req = R1 + R2 + R3 + ... + Rn.

How do you calculate equivalent resistance for resistors in parallel?

For resistors in parallel, the equivalent resistance is calculated using the formula: Req = (1/R1 + 1/R2 + 1/R3 + ... + 1/Rn)^-1. This can also be simplified to Req = (R1*R2*R3*...*Rn)/(R1+R2+R3+...+Rn).

Can you use equivalent resistance for non-linear circuits?

No, equivalent resistance can only be used for linear circuits where Ohm's law is applicable. Non-linear circuits have varying resistance values and cannot be simplified into one equivalent resistor.

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