The hall effect can be used to calculate the charge-carrier number density in a conductor. a conductor carrying current of 2.0 a is 0.50 mm thick, and the hall voltage is 4.5 x 10 v when it is in a uniform magnetic field of 1.2 t. what is the density of charge carriers in the conductor? a) n = 4.6 x 1027 charges/m b) n = 1.7 x 1027 charges/m c) n = 1.0 x 1028 charges/m? d) n = 6.7 x 1027 charges/m?

The density of charge carriers in the conductor is

(d) is correct option.

Explanation:

Given that,

Current = 2.0 A

Thickness = 0.50 mm

Hall voltage

Magnetic field = 1.2 T

We need to calculate the density of charge carriers in the conductor

Using formula of the density of charge

Where, i = current

B = magnetic filed

V = voltage

L = thickness

Put the value into the formula

Hence, The density of charge carriers in the conductor is

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