Question

The heat produced in a circle depends upon resistance, current, and time. If errors in measuring these quantities are 1%, 2%, and 1% respectively, the measured heat is:

a) 4%
b) 5%
c) 6%
d) 7%

Answer 1

The measured heat in a circuit can be calculated using the formula: heat = resistance x current x time. The total error in the measured heat is the sum of the errors in measuring resistance, current, and time. A 4% error in the measured heat could be expected in this scenario.

Step-by-step explanation:

The measured heat in a circuit can be calculated using the formula: heat = resistance x current x time. To determine the measured heat, we need to consider the errors in measuring resistance, current, and time. If the errors are 1%, 2%, and 1% respectively, we can calculate the total error as follows:

1. Resistance error = 1/100 x resistance measurement
2. Current error = 2/100 x current measurement
3. Time error = 1/100 x time measurement

Then, we can calculate the total error in the measured heat by adding up these errors. For example, if the measured heat is 10 units, and the resistance, current, and time errors are 1 unit, 2 units, and 1 unit respectively, the total error in the measured heat would be 1% + 2% + 1% = 4%. Therefore, the measured heat would be 4% higher or lower than the actual value.