Answer to Question #243515 in Electrical Engineering for Jac

Question

Nichrome ribbon resistor elements each has a resistance of 1Ω. The element is made from sheet of nichrome alloy, 0.025 cm thick. If the width of the ribbon is 0.3 cm, what length is required per element? Assume specific resistance of nichrome alloy to be 109 micro Ω-cm. (include step-by-step procedures)

Answer 1

Thicknes a = 0.025 cm

Width of the ribbon b = 0.3 cm

Specific resistance of nichrome alloy = 109 µΩ-cm

Resistance of each element R=1 Ω

Resistance

$R = \frac{ρl}{A} \\ A = 0.025 \times 0.3 = 0.0075 \;cm^2 \\ l = \frac{RA}{ρ} \\ l = \frac{1 \times 0.0075}{109 \times 10^{-6}} = 68.8 \;cm$

Answer: 0.688 m