Replacing Resistors in Series: Equivalent Resistance and Calculation

In summary, two resistors in series can be replaced by a single resistor to give an equivalent resistance to the circuit. The single resistance is related to the two in series by R = R1 + R2. The single resistance should not be in series with anything else if it is replacing the whole series. It is not necessary to post identical questions multiple times.
  • #1
mich_v87
22
0
Can two resistors in series be replaced by a single resistor and give an equivalent resistance to the circuit?

If so , how must the single resistance be related to the two in series ?
R=R1+R2 ? ?
 
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  • #2
Can two resistors in series be replaced by a single resistor and give an equivalent resistance to the circuit?

My answer is yes they can be replaced by a single equivalent resistance

buthow must the single resistance be related to the two in series ?

will it be in series !?
 
  • #3
i mean do we use R=R1+R2? is this the answer ?
 
  • #4
Yes, that's the answer. But I don't understand this: "will it be in series !?" Will it be in series with what? If you're replacing the whole series by one resistor, no.
 
  • #5
yup that's right. [tex] R_e_q_u=R_1+R_2[/tex]
 
  • #6
mich_v87, I've merged your 2 identical questions. Could you please refrain from doing so in the future (except for accidental posting) ?
 

1. What is equivalent resistance?

Equivalent resistance is a measure of the overall resistance of a circuit, taking into account all the individual resistances within the circuit.

2. How do you calculate equivalent resistance?

To calculate equivalent resistance, you can use the formula: 1/Req = 1/R1 + 1/R2 + 1/R3 + ..., where Req is the equivalent resistance and R1, R2, R3, etc. are the individual resistances in the circuit.

3. What is the purpose of finding equivalent resistance?

The purpose of finding equivalent resistance is to simplify a circuit and make it easier to analyze. It allows us to treat a complex circuit as a single resistor, making calculations and predictions more straightforward.

4. Can equivalent resistance ever be lower than the lowest individual resistance?

No, equivalent resistance can never be lower than the lowest individual resistance. This is because adding resistors in parallel will always result in a lower overall resistance, while adding resistors in series will always result in a higher overall resistance.

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

The arrangement of resistors in a circuit can greatly affect the equivalent resistance. Resistors in parallel will result in a lower equivalent resistance, while resistors in series will result in a higher equivalent resistance.

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