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Question

The resistivity of a resistor is 5 Ωm. Its length is 1 m and the area of cross section is 2mm2. Calculate its resistance.
  1. 2.5×107 Ω
  2. 2.5×106 Ω
  3. 3.5×106 Ω
  4. 3.5×107 Ω


Solution

The correct option is B 2.5×106 Ω
Given: Resistivity, ρ=5 Ωm, length, l=1 m and the cross sectional area, A=2 mm2=2×106 m2.
The resistance is given by:
R=ρlA.R=5×12×106=2.5×1106=2.5×106 Ω.

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