Checking Your Work: Calculating Equivalent Resistance

In summary, the conversation discusses finding the equivalent resistance of a circuit with six resistors, all with a resistance of 12 ohms. The participants determine that R5 and R6 are in series, and then calculate the equivalent resistance of the remaining resistors in a series and parallel combination. They also confirm that the final answer is correct.
  • #1
jg95ae
47
0
I'm not sure if I'm doing this right, I would appreciate if someone could take a look.

Q. Find the equivalent resistance of the circuit (attached diagram). Each of the six resistors has a resistance equal to 12 ohms.

I'm thinking that R5 and R6 are in series and therefore combine to be 2R.
2R is now in parallel with R4, therefore 1/Req = 1/R + 1/2R = 3/2R

Then 3/2R is in series with R2, so 2R/3 + R = 5R/3

Then 5R/3 is in parallel with R3, so 3/5R + 1/R = 8/5R

And since 8/5R is in series with R1, then 5R/8 + R = 13R/8.

Have I made any major blunders??
 

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  • #2
I get the same answer. Looks good.
 
  • #3
Yep, right answer .
 

FAQ: Checking Your Work: Calculating Equivalent Resistance

What is equivalent resistance?

Equivalent resistance is the total effective resistance of a circuit. It represents the combined resistance of all the resistors in a circuit and is measured in ohms (Ω).

Why is calculating equivalent resistance important?

Calculating equivalent resistance is important because it allows us to simplify complex circuits and make them easier to analyze. It also helps us determine the total current and voltage in a circuit.

How do you calculate equivalent resistance for resistors in series?

In a series circuit, the equivalent resistance is equal to the sum of all the individual resistances. So, to calculate equivalent resistance, simply add up the values of all the resistors.

How do you calculate equivalent resistance for resistors in parallel?

In a parallel circuit, the equivalent resistance is calculated using the formula: 1/Req = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn, where Req is the equivalent resistance and R1, R2, R3, etc. are the individual resistances. Once you have the sum of the reciprocals, take the inverse to find the equivalent resistance.

Can you calculate equivalent resistance for a combination of resistors in series and parallel?

Yes, you can calculate equivalent resistance for a combination of resistors in series and parallel. First, simplify the circuit by finding the equivalent resistance for any series or parallel sections. Then, use the same methods as mentioned above to find the overall equivalent resistance of the circuit.

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