Question

What is the resistance of 12m wire having radius 2×10-4m.resistivity is 3.14×10-8ohm m

Answer 1

Explanation:

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Answer 2

Answer:

The resistance of the wire is 3Ω.

Explanation:

The resistance of the wire is given as,

$R=\rho \frac{l}{A}$       (1)

Where,

R=resistance

ρ=resistivity of wire

l=length of the wire

A=area of the cross-section of the wire

From the questions we have,

ρ=3.14×10⁻⁸

Radius(r)=2 ×10⁻⁴m

l=12m

Area=πr²=π(2 ×10⁻⁴)²=4π×10⁻⁸m²

∴π=3.14

By substituting the value of ρ,l, and A in equation (1) we get;

$R=3.14\times 10^-^8\times \frac{12}{4\pi\times10^-^8 }=3.14\times 10^-^8 \frac{12}{4\times 3.14 \times10^-^8 }=3\Omega$

Hence, the resistance of the wire is 3Ω.