A nichrome wire ( = 1.0 10⁻⁶ m ) is used to build a heater coil intended to operate at 500 W when connected to a 250 V supply. Determine the resistance of the coil.

Step-by-step solution

Given power of the heater coil, P = 500 W Operating voltage, V = 250 V The resistance of the coil is related to power and voltage by the formula: P = V^2 R Rearranging for resistance R : R = V^2 P Substituting the given values: R = 250 250 500 R = 250 2 = 125 The resistivity of nichrome is extra information and is not required to find the resistance.