Calculate the resistance of a copper wire with a length of 50 m and a cross-sectional area of 1.4 mm2.
June 2, 2021 | education
| Given:
l = 50 meters – the length of the copper wire;
S = 1.4 mm2 – cross-sectional area of the copper wire;
k = 0.018 Ohm * mm2 / m – copper resistivity.
It is required to determine R (Ohm) – the resistance of the copper wire.
To determine the resistance of a copper wire, you need to use the following formula:
k = R * S / l, hence:
R = k * l / S = 0.018 * 50 / 1.4 = 0.9 / 1.4 = 0.64 Ohm.
Answer: the resistance of the copper wire is 0.64 ohms.
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