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the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat
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the heat generated in a circuit is dependent upon the resistance, curr...
the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat
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the heat generated in a circuit is dependent upon the resistance, curr...
**Maximum Error in Measuring Heat in a Circuit**
To determine the maximum error in measuring the heat generated in a circuit, we need to consider the individual errors associated with the resistance, current, and time measurements. Let's break down each component and calculate the maximum error step by step.
**1. Error in Resistance Measurement (1%):**
The heat generated in a circuit is directly proportional to the resistance. Thus, any error in measuring the resistance will affect the accuracy of the heat measurement.
Let's assume the measured resistance is R, and the actual resistance is R₀. The maximum error in the resistance measurement can be calculated as follows:
Maximum Error in Resistance (ΔR) = (1/100) * R₀
**2. Error in Current Measurement (2%):**
The heat generated in a circuit is directly proportional to the square of the current. Hence, any error in measuring the current will have a greater impact on the accuracy of the heat measurement compared to the resistance error.
Assuming the measured current is I, and the actual current is I₀, the maximum error in the current measurement can be calculated as:
Maximum Error in Current (ΔI) = (2/100) * I₀
**3. Error in Time Measurement (1%):**
The heat generated in a circuit is directly proportional to the time for which the current flows. Therefore, any error in measuring the time will also affect the accuracy of the heat measurement.
Assuming the measured time is t, and the actual time is t₀, the maximum error in the time measurement can be calculated as:
Maximum Error in Time (Δt) = (1/100) * t₀
**Calculating Maximum Error in Heat Measurement:**
Since the heat generated in a circuit is dependent on resistance, current, and time, we can calculate the maximum error in measuring the heat by considering the individual errors in each component.
Let's assume the measured heat is H, and the actual heat is H₀.
The maximum error in heat measurement (ΔH) can be calculated using the formula:
ΔH = (ΔR/R₀ + 2 * ΔI/I₀ + Δt/t₀) * H₀
Substituting the previously calculated values of ΔR, ΔI, and Δt, the maximum error in heat measurement can be expressed as:
ΔH = [(1/100) * R₀/R₀ + (2/100) * I₀/I₀ + (1/100) * t₀/t₀] * H₀
ΔH = (1/100 + 2/100 + 1/100) * H₀
ΔH = (4/100) * H₀
ΔH = 0.04 * H₀
Therefore, the maximum error in measuring the heat in the circuit is 0.04 times the actual heat generated (H₀).
To determine the maximum error in measuring the heat generated in a circuit, we need to consider the individual errors associated with the resistance, current, and time measurements. Let's break down each component and calculate the maximum error step by step.
**1. Error in Resistance Measurement (1%):**
The heat generated in a circuit is directly proportional to the resistance. Thus, any error in measuring the resistance will affect the accuracy of the heat measurement.
Let's assume the measured resistance is R, and the actual resistance is R₀. The maximum error in the resistance measurement can be calculated as follows:
Maximum Error in Resistance (ΔR) = (1/100) * R₀
**2. Error in Current Measurement (2%):**
The heat generated in a circuit is directly proportional to the square of the current. Hence, any error in measuring the current will have a greater impact on the accuracy of the heat measurement compared to the resistance error.
Assuming the measured current is I, and the actual current is I₀, the maximum error in the current measurement can be calculated as:
Maximum Error in Current (ΔI) = (2/100) * I₀
**3. Error in Time Measurement (1%):**
The heat generated in a circuit is directly proportional to the time for which the current flows. Therefore, any error in measuring the time will also affect the accuracy of the heat measurement.
Assuming the measured time is t, and the actual time is t₀, the maximum error in the time measurement can be calculated as:
Maximum Error in Time (Δt) = (1/100) * t₀
**Calculating Maximum Error in Heat Measurement:**
Since the heat generated in a circuit is dependent on resistance, current, and time, we can calculate the maximum error in measuring the heat by considering the individual errors in each component.
Let's assume the measured heat is H, and the actual heat is H₀.
The maximum error in heat measurement (ΔH) can be calculated using the formula:
ΔH = (ΔR/R₀ + 2 * ΔI/I₀ + Δt/t₀) * H₀
Substituting the previously calculated values of ΔR, ΔI, and Δt, the maximum error in heat measurement can be expressed as:
ΔH = [(1/100) * R₀/R₀ + (2/100) * I₀/I₀ + (1/100) * t₀/t₀] * H₀
ΔH = (1/100 + 2/100 + 1/100) * H₀
ΔH = (4/100) * H₀
ΔH = 0.04 * H₀
Therefore, the maximum error in measuring the heat in the circuit is 0.04 times the actual heat generated (H₀).
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the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat
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the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat.
the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the heat generated in a circuit is dependent upon the resistance, current and time fir which the current is flown. if the error is measuring the above are as 1%, 2% and 1%. what will be the maximum error in measuring heat.
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