Metal Strip A metal strip 6.50 cm long, 0.850 cm wide, and 0.760 mm thick moves with constant

step 1 a metal steep this is 6 .5 md long and 0 .85 meter wide and 0 .890 thick so which is a constant

Metal Strip A metal strip 6.50 cm long, 0.850 cm wide, and...

Metal Strip A metal strip $6.50 \mathrm{~cm}$ long, $0.850 \mathrm{~cm}$ wide, and $0.760 \mathrm{~mm}$ thick moves with constant velocity $\vec{v}$ through a uniform magnetic field of magnitude $|\vec{B}|=1.20 \mathrm{mT}$ directed perpendicular to the strip, as shown in Fig. 29-30. A potential difference of $3.90 \mu \mathrm{V}$ is measured between points $x$ and $y$ across the strip. Calculate the speed $|\vec{v}|$.

Key Concepts

Motional EMF

Motional electromotive force (emf) is the voltage generated across a conductor when it moves through a magnetic field. This phenomenon arises from the Lorentz force, which causes the separation of charges within the conductor, leading to an electric potential difference across its ends.

Lorentz Force

The Lorentz force is the force experienced by a moving charged particle in the presence of a magnetic field, given by the equation F = q(v × B). This force is central to understanding how the motion of a conductor in a magnetic field results in the separation of charges that produces motional emf.

Unit Conversion and Dimensional Analysis

In problems involving electromagnetic induction, it is crucial to ensure that all physical quantities are expressed in compatible units. Proper unit conversion and dimensional consistency allow for accurate application of formulas, such as those relating the induced emf to the magnetic field strength, velocity of the conductor, and its dimensions.

Transcript

Please give Ace some feedback