Equivalent resistance question

In summary, equivalent resistance is the total resistance of a combination of resistors in a circuit. It can be calculated using Ohm's law or the formula for parallel resistors. Equivalent resistance is important because it simplifies complex circuits. It can be greater or less than the individual resistances depending on the circuit arrangement. In series circuits, it is always greater, while in parallel circuits, it can be less than the individual resistances.
  • #1
princejan7
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I'm trying to find the equivalent resistance of this circuit but I don't know where to start.

The solution manual says that the 5 and 20 ohm resistors are in parallel as well as the 6 and 3 ohm resistors. Can someone explain why?
 

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  • #2
Go from a to b: after 10 ohm you can turn up or down and end up at one and the same voltage (the wire that runs around to the left) Again you can go via 6 or 3 and the final hurdle is the 8 ohm.
Now draw the picture again, with a at the top and b at the bottom.
 

Related to Equivalent resistance question

1. What is equivalent resistance?

Equivalent resistance is the total resistance of a combination of resistors in a circuit. It is a single resistance value that represents the combined effect of multiple resistors.

2. How do you calculate equivalent resistance?

To calculate equivalent resistance, you can use Ohm's law (R = V/I) or the formula for parallel resistors (1/Req = 1/R1 + 1/R2 + ...). In series circuits, equivalent resistance is simply the sum of all the individual resistances.

3. Why is equivalent resistance important?

Equivalent resistance is important because it helps simplify complex circuits by reducing multiple resistors into a single value. This makes it easier to analyze and understand the behavior of a circuit.

4. Can equivalent resistance be greater than the individual resistances?

Yes, in series circuits, the equivalent resistance is always greater than the individual resistances. In parallel circuits, the equivalent resistance can be less than the individual resistances.

5. How does the arrangement of resistors affect equivalent resistance?

The arrangement of resistors (in series or parallel) will affect the value of the equivalent resistance. In series, the equivalent resistance is the sum of the individual resistances, while in parallel, the equivalent resistance is less than the smallest individual resistance.

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