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? A) 720 W B) 700 W C) 750 W D) 770 W E) 800 W

Question

Quizplus · Accepted Answer

The resistance (R) of the 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. Substituting the given values, we find R. Then, using the power formula P = V^2/R with V = 120 V, we calculate the power. The correct power is approximately 720 W.

The Heater Element of a Particular 120-V Toaster Is a 8.9-M