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Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel?
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Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2...
Calculation of Percentage Error in Resistance when connected in Parallel
Resistance R1 = 3 ohms ± 1%
Resistance R2 = 6 ohms ± 2%
Calculating the Possible Range of Resistance for R1 and R2:
- For R1: Minimum resistance = 3 ohms - 1% of 3 ohms = 3 ohms - 0.03 ohms = 2.97 ohms
- For R1: Maximum resistance = 3 ohms + 1% of 3 ohms = 3 ohms + 0.03 ohms = 3.03 ohms
- For R2: Minimum resistance = 6 ohms - 2% of 6 ohms = 6 ohms - 0.12 ohms = 5.88 ohms
- For R2: Maximum resistance = 6 ohms + 2% of 6 ohms = 6 ohms + 0.12 ohms = 6.12 ohms
Calculating Total Resistance when connected in Parallel:
- When resistors are connected in parallel, the total resistance (R_total) is given by the formula:
1/R_total = 1/R1 + 1/R2
Calculating the Percentage Error in the Total Resistance:
- To find the percentage error in the total resistance, we need to calculate the possible range of total resistance using the minimum and maximum values of R1 and R2.
- Once we have the possible range of total resistance, we can calculate the percentage error using the formula:
Percentage error = (Maximum R_total - Minimum R_total) / (Average R_total) * 100
Conclusion:
- By calculating the percentage error in resistance when R1 and R2 are connected in parallel, we can determine the overall uncertainty in the total resistance. This information is crucial for accurate measurements and calculations in electrical circuits.
Resistance R1 = 3 ohms ± 1%
Resistance R2 = 6 ohms ± 2%
Calculating the Possible Range of Resistance for R1 and R2:
- For R1: Minimum resistance = 3 ohms - 1% of 3 ohms = 3 ohms - 0.03 ohms = 2.97 ohms
- For R1: Maximum resistance = 3 ohms + 1% of 3 ohms = 3 ohms + 0.03 ohms = 3.03 ohms
- For R2: Minimum resistance = 6 ohms - 2% of 6 ohms = 6 ohms - 0.12 ohms = 5.88 ohms
- For R2: Maximum resistance = 6 ohms + 2% of 6 ohms = 6 ohms + 0.12 ohms = 6.12 ohms
Calculating Total Resistance when connected in Parallel:
- When resistors are connected in parallel, the total resistance (R_total) is given by the formula:
1/R_total = 1/R1 + 1/R2
Calculating the Percentage Error in the Total Resistance:
- To find the percentage error in the total resistance, we need to calculate the possible range of total resistance using the minimum and maximum values of R1 and R2.
- Once we have the possible range of total resistance, we can calculate the percentage error using the formula:
Percentage error = (Maximum R_total - Minimum R_total) / (Average R_total) * 100
Conclusion:
- By calculating the percentage error in resistance when R1 and R2 are connected in parallel, we can determine the overall uncertainty in the total resistance. This information is crucial for accurate measurements and calculations in electrical circuits.
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Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel?
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Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel?.
Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances are measured in ohms and are given as:- R1=3±1% R2=6±2% What wil the percentage error in resistance when they are connected parallel?.
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