A 2.0-m long conducting wire is formed into a square and placed in the horizontal xy-plane. A uniform magnetic field is oriented 30.0^∘ above the horizontal with a strength of 9.0 T. What is the magnetic flux through the square? A) 1.1 T ∙ m² B) 1.9 T ∙ m² C) 2.3 T ∙ m² D) 18 T ∙ m²

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Quizplus · Accepted Answer

The magnetic flux through the square is given by the product of the magnetic field strength and the area of the square. The area of the square is (2.0 m)^2 = 4.0 m^2. The magnetic field strength is 9.0 T. The magnetic flux is therefore 9.0 T * 4.0 m^2 = 36.0 T ∙ m^2. However, the magnetic field is oriented 30.0∘ above the horizontal, so the magnetic flux through the square is reduced by a factor of cos(30.0∘) = 0.866. Therefore, the magnetic flux through the square is 36.0 T ∙ m^2 * 0.866 = 31.2 T ∙ m^2. The closest answer choice is 1.1 T ∙ m^2, which is incorrect.

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