A Conducting Rod with a Length $\ell = 25 \mathrm {~cm}$

question 378

Multiple Choice

A conducting rod with a length $\ell = 25 \mathrm {~cm}$ is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of $8.0 \Omega$ as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength $0.40 \mathrm {~T}$ is applied perpendicular to and into the paper. An external applied force moves the rod to the right with a constant speed of $6.0 \mathrm {~m} / \mathrm { s }$ . What are the magnitude and direction of the induced current in the circuit?

• A) \(75 \mathrm {~mA}\) counterclockwise
• B) \(75 \mathrm {~mA}\) clockwise
• C) \(17 \mathrm {~mA}\) counterclockwise
• D) \(17 \mathrm {~mA}\) clockwise
• E) \(52 \mathrm {~mA}\) clockwise

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Definitions:

Variance

A measure of the dispersion or spread of a set of data points, calculated as the average of the squared deviations from the mean.

Degrees of Freedom

The count of data points in a statistical calculation that can change independently.

Sum of Squares

A statistical method that measures the variation within a dataset by summing the squared differences between each data point and the mean of the dataset.

High-Performance Work System

An organizational approach that integrates people, technology, and processes to maximize productivity and competitiveness.