Question

A heating element using nichrome is connected to a 220 V supply. Initially it draws a current of 2.9 A. After some time, the current attains a steady value of 2.5 A. Find the steady temperature of the heating element if the room temperature is 27 \(^{\circ}\)C. The temperature coefficient of resistance of nichrome is \(1.7 \times 10^{-4}\ ^{\circ}\text{C}^{-1}\).

Hint:

For heating elements: - Use \(R = \frac{V}{I}\) - Then apply \(R_T = R_0(1 + \alpha \Delta T)\) - Always compute resistance ratio first for faster solving.

Answer 1