What is the cross-sectional area of a 20 m long nichrome conductor if its resistance at 20 ° C is 40 Ohm?

univerkov | May 2, 2021 | education

Task data: l (length of a given nichrome conductor) = 20 m; R (conductor resistance at 20 ºС) = 40 Ohm.

Reference values: ρ (specific electrical resistance of nichrome at 20 ºС) = 1.1 Ohm * mm2 / m.

The cross-sectional area of a given nichrome conductor is expressed from the formula: R = ρ * l / S, whence S = ρ * l / R.

Let’s make a calculation: S = 1.1 * 20/40 = 0.55 m2.

Answer: A given nichrome conductor has a cross-sectional area of 0.55 m2.

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