How Do You Calculate Net Resistance in a Circuit?

In summary, net resistance in a circuit is the total resistance of all components connected in series or parallel. In a series circuit, it is calculated by adding individual resistances, while in a parallel circuit it is calculated using a formula that takes into account the divided current. The net resistance affects the flow of current, with a higher resistance resulting in a lower current. Temperature can also affect net resistance, with resistors having a positive temperature coefficient and some components having a negative coefficient.
  • #1
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Homework Statement


Find the net resistance in the circuit. each resistance is 3.3 kOhms. see attached
Thanks!

Homework Equations


series r=r1+r2+r3...
parallel 1/r=1/r1+1/r2...

The Attempt at a Solution


I tried taking into account the short circuit and just adding two. Also tried resistance of 2 in parallel and 4 in series.
 

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  • #2
Welcome to Physics Forums. :smile:

To start, can you find 2 resistors that are either in series or in parallel? Replace those 2 resistors with a single, equivalent resistor and redraw the circuit.
 
  • #3


To find the net resistance in this circuit, we can use the formula for resistances in parallel. Since all the resistances in this circuit are equal (3.3 kOhms), we can simplify the formula to 1/R = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn.
In this case, we have three resistances in parallel, so the formula becomes 1/R = 1/(3.3 kOhms) + 1/(3.3 kOhms) + 1/(3.3 kOhms) = 3/(3.3 kOhms).
To find the total resistance, we can take the reciprocal of both sides, giving us R = (3.3 kOhms)/3 = 1.1 kOhms.
Therefore, the net resistance in this circuit is 1.1 kOhms.
 

FAQ: How Do You Calculate Net Resistance in a Circuit?

What is net resistance in a circuit?

Net resistance in a circuit refers to the overall resistance of the entire circuit, taking into account all the individual resistances of the components connected in series or parallel. It is measured in ohms (Ω).

How is net resistance calculated in a series circuit?

In a series circuit, the net resistance is calculated by adding together all the individual resistances of the components. This can be represented by the formula Rnet = R1 + R2 + R3 + ..., where R1, R2, R3, etc. are the individual resistances.

What about in a parallel circuit?

In a parallel circuit, the net resistance is calculated using the formula 1/Rnet = 1/R1 + 1/R2 + 1/R3 + ..., where R1, R2, R3, etc. are the individual resistances. This formula takes into account the fact that the total current is divided between the parallel branches, resulting in a lower overall resistance.

Does the net resistance affect the flow of current in a circuit?

Yes, the net resistance affects the flow of current in a circuit. The higher the net resistance, the lower the current will be, according to Ohm's law (I = V/R). This means that as the net resistance increases, the voltage must also increase to maintain the same level of current.

How does temperature affect the net resistance in a circuit?

Temperature can affect the net resistance in a circuit, especially in the case of resistors. As the temperature increases, the resistance of a resistor also increases. This means that the net resistance of the circuit will increase, resulting in a decrease in current flow. However, some components, such as thermistors, have a negative temperature coefficient, meaning their resistance decreases as temperature increases.

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