In Problem 37, the width of the strip is 3.5 cm, the magnetic field is 0.43 T, the Hall voltage

step 1 In this question, we are given the width, the magnetic field and the whole voltage across the st

In Problem 37, the width of the strip is 3.5 cm, the...

In Problem $37,$ the width of the strip is $3.5 \mathrm{cm},$ the magnetic field is $0.43 \mathrm{T}$, the Hall voltage is measured to be $7.2 \mu \mathrm{V},$ the thickness of the strip is $0.24 \mathrm{mm},$ and the current in the wire is 54 A. What is the density of carriers (number of carriers per unit volume) in the strip?

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Key Concepts

Hall Effect

A phenomenon observed when a magnetic field is applied perpendicular to the flow of current in a conductor, causing the moving charge carriers to experience a force that deflects them to one side. This results in a measurable transverse voltage (the Hall voltage) across the conductor, which is used to characterize the electrical properties of the material.

Charge Carrier Density

The measure of the number of free charge carriers, such as electrons or holes, per unit volume in a material. This property is crucial for understanding the conductivity and overall electrical behavior of the material, and it can be determined using the Hall effect and related measurements.

Lorentz Force

The force exerted on a moving charged particle in the presence of electric and magnetic fields, given by the equation F = q(v × B). In the context of the Hall effect, this force causes the deflection of charge carriers, leading to the creation of the Hall voltage.

Hall Coefficient

A parameter that relates the Hall voltage to the current density and the applied magnetic field. It provides a direct connection between the measured Hall effect and the intrinsic charge carrier density of the material, making it a key concept in the study of conductive materials.

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