Physics
Grade-9
Easy

Question

A copper cable has a length of 450 m and a cross-sectional area of 4.0 mm2. If the resistivity of the copper is 1.72 ×10-8 Ohm-m, then the resistance of this cable will be:

  1. 193.5 Ω
  2. 0 Ω
  3. 1.050 Ω
  4. 1.935 Ω

hintHint:

R = rhol over A

The correct answer is: 1.935 Ω


    Given,
    length of the wire = 450 m
    cross-sectional area = 4.0 mm= 4 x 10-6 m
    resistivity = 1.72 x 10-8 ohm-m
    We know that,
    R = rhol over A
    R = 1.72 x 10-8 fraction numerator 450 over denominator 4 space cross times 10 to the power of negative 6 end exponent end fraction
    R = 1.935 capital omega

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