A ribbon of nichrome (resistivity = 1.00 * 10^-6 $\varOmega$·m)with a rectangular cross sectional area of (0.25 mm * 1.00 mm)and 21.9 cm in length is used as a heating element in a toaster.What is the total resistance of this ribbon?

Question

Quizplus · Accepted Answer

The resistance of the ribbon can be calculated using the formula $R = \rho \frac{L}{A}$, where $\rho$ is the resistivity, $L$ is the length, and $A$ is the cross-sectional area. Given $\rho = 1 \times 10^{-6} \Omega \cdot m$, $L = 21.9 \, cm = 0.219 \, m$, and $A = 0.25 \, mm \times 1.00 \, mm = 0.25 \times 10^{-3} \, m \times 1.00 \times 10^{-3} \, m = 0.25 \times 10^{-6} \, m^2$, the resistance is $R = 1 \times 10^{-6} \Omega \cdot m \times \frac{0.219 \, m}{0.25 \times 10^{-6} \, m^2} = 0.876 \, \Omega$, which rounds to $0.88 \, \Omega$.

A Ribbon of Nichrome (Resistivity = 1 Ω\varOmegaΩ ·M)with a Rectangular Cross Sectional Area of (0

A Ribbon of Nichrome (Resistivity = 1 $\varOmega$ ·M)with a Rectangular Cross Sectional Area of (0