A metallic conductor has a resistivity of 35 × 10 −6 Ω⋅m. What is the resistance of a piece that is 20 m long and has a uniform cross-sectional area of 4.0 × 10 −6 m 2?

Therefore the resistance of the conductor is 175Ω

Explanation:

Resistance:

The notation sign of resistance is R.

The unit of resistance is ohm (Ω).

Therefore,

and

ρ is the proportional constant.

It is also known as resistivity of that metal.

Given ρ=35×10⁻⁶Ω-m

l= 20 m

A= 4.0×10⁻⁶m²

       =175Ω

Therefore the resistance of the conductor is 175Ω

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