Final answer:
The magnetic flux through a surface is calculated with the formula involving the magnetic field strength, area, and the cosine of the angle between the field and the normal to the surface. Without the strength of the magnetic field provided, we cannot calculate the numerical value of the magnetic flux for the horizontal rectangular surface.
Step-by-step explanation:
The magnetic flux through a surface is given by the formula Φ = B ⋅ A ⋅ cos(θ), where Φ is the magnetic flux, B is the magnetic field strength, A is the area of the surface, and θ is the angle between the magnetic field and the normal to the surface. For a horizontal rectangular surface with dimensions 3.50 cm by 3.40 cm, placed in a uniform magnetic field at an angle of 33.5° above the horizontal, we first need to convert the dimensions to meters:
- 3.50 cm = 0.035 m
- 3.40 cm = 0.034 m
Now, calculate the area:
A = length ⋅ width = 0.035 m ⋅ 0.034 m = 0.00119 m².
Assuming we knew the strength of the magnetic field (B), we would use the given angle θ = 33.5° and the calculated area (A) to find the magnetic flux using the above formula. As the value of B is not given in the question, it is not possible to provide a numerical answer to this specific question.
However, the maximum flux occurs when the surface is perpendicular to the magnetic field, meaning at θ = 0°. If we knew B, to find the answer, we would simply use:
Φ = B ⋅ 0.00119 m² ⋅ cos(33.5°).
Without the value of B, we cannot determine which of the given options (A to D) is correct.