Answer to Question #238621 in Electric Circuits for Niks

Question

Nichrome ribbon resistor elements each has a resistance of 1 ohm. 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 nichrme alloy to be 109

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