How do find the equivalent resistance of multiple resistors configures in parallel You sum the resistances together and then divide by the number of resistors You average all of the individual resistor values. You calculate: 1 / (1/R1 + 1/R2 + + 1/Rn) ... You use the smallest resistor value.
How do find the equivalent resistance of multiple resistors configures in parallel You sum the resistances together and then divide by the number of resistors You average all of the individual resistor values. You calculate: 1 / (1/R1 + 1/R2 + + 1/Rn) ... You use the smallest resistor value.
Introductory Circuit Analysis (13th Edition)
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![**Finding the Equivalent Resistance of Multiple Resistors in Parallel**
When you have multiple resistors connected in parallel, the method to find their equivalent resistance is not as straightforward as simply summing them or averaging their values. Here are some common misconceptions and the correct way to find the equivalent resistance:
1. **Incorrect Method: Summing and Dividing**
- You sum the resistances together and then divide by the number of resistors.
2. **Incorrect Method: Averaging Values**
- You average all of the individual resistor values.
3. **Correct Method: Parallel Resistance Formula**
- You calculate the equivalent resistance using the formula:
\[ 1 / (1/R1 + 1/R2 + ... + 1/Rn) \]
This method involves taking the reciprocal of the sum of the reciprocals of each individual resistance.
4. **Incorrect Method: Selecting the Smallest Value**
- You use the smallest resistor value.
It's crucial to apply the correct mathematical approach when dealing with parallel resistors to ensure accurate calculations in electrical circuits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2Fc9f03a10-a34d-4dcf-8b67-9bf346cda263%2Fdl9ktyl_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding the Equivalent Resistance of Multiple Resistors in Parallel**
When you have multiple resistors connected in parallel, the method to find their equivalent resistance is not as straightforward as simply summing them or averaging their values. Here are some common misconceptions and the correct way to find the equivalent resistance:
1. **Incorrect Method: Summing and Dividing**
- You sum the resistances together and then divide by the number of resistors.
2. **Incorrect Method: Averaging Values**
- You average all of the individual resistor values.
3. **Correct Method: Parallel Resistance Formula**
- You calculate the equivalent resistance using the formula:
\[ 1 / (1/R1 + 1/R2 + ... + 1/Rn) \]
This method involves taking the reciprocal of the sum of the reciprocals of each individual resistance.
4. **Incorrect Method: Selecting the Smallest Value**
- You use the smallest resistor value.
It's crucial to apply the correct mathematical approach when dealing with parallel resistors to ensure accurate calculations in electrical circuits.
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