A metallic wire has a diameter of 4.12mm. When the current in the wire is 8.00A, the drift velocity is 5.40×10−5m/s. What is the density of free electrons in the metal?Express your answer numerically in m−3 to two significant figures.

Explanation:

We are given that

Diameter of wire=d=4.12 mm

Radius of wire=r

Current=I=8 A

Drift velocity=

We have to find the density of free electrons in the metal

We know that

Density of electron=

Using the formula

Density of free electrons=

By using Area of wire=

Density of free electrons=

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