Question

The formula to calculate the demand for power P is given by P=2 I² R/d². If the demand for power increases by more than 9 %, load shedding is implemented.

On a cold winter's night, the current I changes by ±3%, the resistance R changes by ±2% and the cable diameter d changes by ±2%. Calculate the maximum change in power.

Answer 1

To calculate the maximum change in power, find the maximum change in each variable (current, resistance, and cable diameter) and plug them into the given formula.

Step-by-step explanation:

The maximum change in power can be calculated by finding the maximum change in each variable (current I, resistance R, and cable diameter d) and plugging them into the formula P=2I²R/d².

Step 1: Calculate the maximum change in current: ±3% of the current I.

Step 2: Calculate the maximum change in resistance: ±2% of the resistance R.

Step 3: Calculate the maximum change in cable diameter: ±2% of the diameter d.

Step 4: Plug in the maximum changes into the formula P=2I²R/d² to calculate the maximum change in power.