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Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ?
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Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in serie...
Calculation of Equivalent Resistance
When two resistors are connected in series, their equivalent resistance is the sum of their individual resistances.
Therefore, the equivalent resistance (R) is given by:
R = R1 + R2
where R1 is the resistance of the first resistor and R2 is the resistance of the second resistor.
Substituting the given values, we get:
R = 100 _ 3 + 200 _ 4
R = 300 + 800
R = 1100 ohm
Therefore, the equivalent resistance of the two resistors is 1100 ohm.
Calculation of Error Limits
To calculate the error limits, we need to use the formula:
δR = R x [(δR1/R1) + (δR2/R2)]
where δR is the error in the equivalent resistance, δR1 and δR2 are the errors in the individual resistances, and R1 and R2 are the individual resistances.
Substituting the given values, we get:
δR = 1100 x [(3/100) + (4/200)]
δR = 1100 x [0.03 + 0.02]
δR = 1100 x 0.05
δR = 55 ohm
Therefore, the error limits for the equivalent resistance are ±55 ohm.
Explanation
In this problem, we were given two resistors connected in series, and we were asked to find the equivalent resistance with error limits. We used the formula for calculating the equivalent resistance of two resistors in series, which is the sum of their individual resistances. We then used the formula for calculating the error limits in the equivalent resistance, which takes into account the errors in the individual resistances. The final answer was the equivalent resistance with error limits of ±55 ohm.
When two resistors are connected in series, their equivalent resistance is the sum of their individual resistances.
Therefore, the equivalent resistance (R) is given by:
R = R1 + R2
where R1 is the resistance of the first resistor and R2 is the resistance of the second resistor.
Substituting the given values, we get:
R = 100 _ 3 + 200 _ 4
R = 300 + 800
R = 1100 ohm
Therefore, the equivalent resistance of the two resistors is 1100 ohm.
Calculation of Error Limits
To calculate the error limits, we need to use the formula:
δR = R x [(δR1/R1) + (δR2/R2)]
where δR is the error in the equivalent resistance, δR1 and δR2 are the errors in the individual resistances, and R1 and R2 are the individual resistances.
Substituting the given values, we get:
δR = 1100 x [(3/100) + (4/200)]
δR = 1100 x [0.03 + 0.02]
δR = 1100 x 0.05
δR = 55 ohm
Therefore, the error limits for the equivalent resistance are ±55 ohm.
Explanation
In this problem, we were given two resistors connected in series, and we were asked to find the equivalent resistance with error limits. We used the formula for calculating the equivalent resistance of two resistors in series, which is the sum of their individual resistances. We then used the formula for calculating the error limits in the equivalent resistance, which takes into account the errors in the individual resistances. The final answer was the equivalent resistance with error limits of ±55 ohm.
Community Answer
Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in serie...
R=r1+r2
=
300+/- 7Ω
=
300+/- 7Ω
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Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ?
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Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ?.
Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two resistances 100 _ 3 ohm and 200 _ 4 ohm are connected in series find the equivalent resistance with error limits? ?.
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