A strip of copper 2.0 cm wide carries a current I=30.0 A to the right. The strip is in a magneti

step 1 All right, so we have a copper strip. Oh, we got a current going through it to the right, meanin

A strip of copper 2.0 cm wide carries a current I=30.0 A to...

A strip of copper $2.0 \mathrm{cm}$ wide carries a current $I=30.0 \mathrm{A}$ to the right. The strip is in a magnetic field $B=5.0 \mathrm{T}$ into the page. (a) What is the direction of the average magnetic force on the conduction electrons? (b) The Hall voltage is $20.0 \mu \mathrm{V} .$ What is the drift velocity?

A strip of copper $2.0 \mathrm{cm}$ wide carries a current $I=30.0 \mathrm{A}$ to the right. The strip is in a magnetic field $B=5.0 \mathrm{T}$ into the page.
(a) What is the direction of the average magnetic force on the conduction electrons? (b) The Hall voltage is $20.0 \mu \mathrm{V} .$ What is the drift velocity?

Key Concepts

Drift Velocity

Drift velocity is the average velocity attained by the charge carriers, such as electrons, in a conductor due to an external electric field. Although individual electrons move randomly at high speeds, the net movement due to the field is relatively slow. Drift velocity is directly related to the current density in the conductor and plays a key role in determining the magnitude of effects like the Hall voltage.

Hall Effect

The Hall effect arises when a conductor carrying an electric current is placed in a perpendicular magnetic field, causing the charge carriers to experience a magnetic force that deflects them to one side of the conductor. This accumulation of charge results in a measurable transverse voltage called the Hall voltage. The Hall effect is widely used for probing the nature and density of charge carriers in a material.

Magnetic Force on Moving Charges

This concept refers to the force experienced by charged particles when they move through a magnetic field. The force is given by the equation F = q(v × B), where q is the charge of the particle, v is its velocity, and B is the magnetic field. The direction of this force is determined by the right-hand rule, and for electrons (which are negatively charged), the direction is opposite to that indicated by the rule for positive charges.

Lorentz Force

The Lorentz force is a fundamental concept in electromagnetism that describes the total force acting on a charged particle due to electromagnetic fields. In many scenarios, including those involving current-carrying conductors, the magnetic component of the Lorentz force is crucial. This force explains how moving charges are deflected when subjected to a magnetic field, leading to observable effects such as the Hall effect.

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