A Rectangular Loop of Wire That Can Rotate About an Axis

question 132

Multiple Choice

A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T, as shown in the figure. The length of the loop L is 0.16 m and its width w is 0.040 m. What is the magnetic flux through the loop when the plane of the loop is parallel to the magnetic field?

• A) 13 × 10^-3 T ∙ m²
• B) 2.6 × 10³ T ∙ m²
• C) 0.80 T ∙ m²
• D) 2.6 × 10^-3 T ∙ m²
• E) 0 T ∙ m²

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Definitions:

Feasible Region

In optimization problems, the set of all possible points that satisfy the problem's constraints.

Linear Programming

A mathematical technique used to maximize or minimize a linear objective function, subject to linear equality and linear inequality constraints.

Iso-profit Lines

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LP Maximization

Linear Programming Maximization, an optimization technique used to find the highest outcome of a linear objective function given a set of linear constraints.