Question

A wire has a resistance of \( 10 \, \Omega \) at \( 20^\circ \text{C} \). If the temperature coefficient of resistance of the material is \( 0.004 \, \text{per}^\circ \text{C} \), what is the resistance of the wire at \( 50^\circ \text{C} \)?

• A. \( 12 \, \Omega \)
• B. \( 10.6 \, \Omega \)
• C. \( 15 \, \Omega \)
• D. \( 20 \, \Omega \)

Hint:

Use the formula \( R_t = R_0 (1 + \alpha (t - t_0)) \) to find the resistance at a new temperature. The temperature coefficient of resistance shows how much resistance changes per degree Celsius.