Power: The heater element of a particular 120-V toaster is a 8.9-m length of nichrome wire, whose diameter is 0.86 mm. The resistivity of nichrome at the operating temperature of the toaster is 1.3 × 10^-6 Ω ∙ m. If the toaster is operated at a voltage of 120 V, how much power does it draw?

Question

Quizplus · Accepted Answer

The resistance (R) of the nichrome wire can be calculated using the formula R = ρL/A, where ρ is the resistivity, L is the length, and A is the cross-sectional area. The area A = π(d/2)^2. Once R is found, the power (P) can be calculated using P = V^2/R. Substituting the given values, the power comes out to approximately 720 W.

Power: the Heater Element of a Particular 120-V Toaster Is