he maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%,2% and 3% respectively. The maximum percentage error in the detection of the dissipated heat will be

To find the maximum percentage error in the detection of the dissipated heat, we need to consider the errors in resistance, current, and time measurements.

Let's assume the resistance measurement has a maximum error of 1%. This means that the actual resistance could be 1% higher or lower than the measured value.

Similarly, the current measurement has a maximum error of 2%. This means that the actual current could be 2% higher or lower than the measured value.

Lastly, the time measurement has a maximum error of 3%. This means that the actual time could be 3% longer or shorter than the measured value.

To calculate the maximum percentage error in the detection of the dissipated heat, we need to consider the combined effect of these errors. Since heat dissipation is directly proportional to the product of resistance, current, and time, we can use the formula:

Percentage error in heat dissipation = Percentage error in resistance + Percentage error in current + Percentage error in time

Substituting the given maximum errors, we have:

Percentage error in heat dissipation = 1% + 2% + 3% = 6%

Therefore, the maximum percentage error in the detection of the dissipated heat is 6%.