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Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is?
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Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are co...
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Calculating Equivalent Resistance of Parallel Combination with Error
- Resistance of Resistor 1 (R1): R1 = 300 ± 3 ohm
- Resistance of Resistor 2 (R2): R2 = 200 ± 2 ohm
- Calculating Equivalent Resistance (Rp) in Parallel:
Rp = (R1 * R2) / (R1 + R2)
- Substitute the given resistor values:
Rp = (300 * 200) / (300 + 200)
Rp = 60000 / 500
Rp = 120 ohm
- Calculating Error in Equivalent Resistance (ΔRp):
ΔRp = Rp * [(ΔR1/R1) + (ΔR2/R2)]
- Substitute the given error values:
ΔRp = 120 * [(3/300) + (2/200)]
ΔRp = 120 * [0.01 + 0.01]
ΔRp = 120 * 0.02
ΔRp = 2.4 ohm
- Equivalent Resistance of Parallel Combination with Error:
Rp = 120 ± 2.4 ohm
Therefore, the equivalent resistance of the parallel combination of resistors R1 and R2 is 120 ± 2.4 ohm.
Calculating Equivalent Resistance of Parallel Combination with Error
- Resistance of Resistor 1 (R1): R1 = 300 ± 3 ohm
- Resistance of Resistor 2 (R2): R2 = 200 ± 2 ohm
- Calculating Equivalent Resistance (Rp) in Parallel:
Rp = (R1 * R2) / (R1 + R2)
- Substitute the given resistor values:
Rp = (300 * 200) / (300 + 200)
Rp = 60000 / 500
Rp = 120 ohm
- Calculating Error in Equivalent Resistance (ΔRp):
ΔRp = Rp * [(ΔR1/R1) + (ΔR2/R2)]
- Substitute the given error values:
ΔRp = 120 * [(3/300) + (2/200)]
ΔRp = 120 * [0.01 + 0.01]
ΔRp = 120 * 0.02
ΔRp = 2.4 ohm
- Equivalent Resistance of Parallel Combination with Error:
Rp = 120 ± 2.4 ohm
Therefore, the equivalent resistance of the parallel combination of resistors R1 and R2 is 120 ± 2.4 ohm.
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Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is?
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Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is?.
Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistors of resistances R1=300+or-3ohm and R2 =200+or-2ohm are connected in parallel the equivalent resistance of parallel combination with error is?.
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