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Calculate the length of a constantan wire of cross- sectional area 4 π x 10-8m2...

Physics
WAEC 1992
Calculate the length of a constantan wire of cross- sectional area 4 π x 10-8m2 and resistivity 1.1 x 10-6 Ω m required to construct a standard resistor of resistance 21 Ω. [Take π = 22/7]
  • A. 0.42m
  • B. 2.40 m
  • C. 6.25 m
  • D. 183.75 m
  • E. 590.00 m
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Correct Answer: Option B
Explanation
R = PL/A => L =
RA/P
=
21 x 4π x 108/1.1 x 10-6
= 2.40
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