We appreciate your visit to a uniform magnetic field of 4 95 t points in some direction consider the magnetic flux through a large triangular wire loop that has three. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The absolute value of the magnetic flux at its maximum is ∅[tex]_{max[/tex] = 12.101 Weber.
We learn from the question that
The magnetic field is defined as B = 7.35 T
One of the triangle's sides is d = 19.5 m
In general, the absolute value of magnetic flux is represented mathematically as
∅ = B × [tex]A_{COS}[/tex] (Ф₁)
At its most extreme, Ф₁ = 0
So
The magnetic flux's absolute value at its maximum.
∅[tex]_{max}[/tex] = B × A
Now that we know the triangle has equal sides, the angle each produces with the other Ф = 60° is because the total angle in a triangle is 180.
The height of the triangular loop is now calculated mathematically using SOHCAHTOA as
sin Ф = [tex]\frac{h}{d}[/tex]
=> sin (60) = [tex]\frac{h}{1.95}[/tex]
=> h = sin(60) × 1.95
=> h = 1.6887 m
As a result, the area is rated as
A = [tex]\frac{1}{2}[/tex] × d × h
value substitution
A = 0.5 × 1.95 × 1.6887
A = 1.6465 m²
Thus
∅[tex]_{max}[/tex] = 7.35 × 1.6465
∅[tex]_{max}[/tex] = 12.101 Weber
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Correct question:
A uniform magnetic field of 7.35 T points in some direction. Consider the magnetic flux through a large triangular wire loop that has three equal sides of 1.95 m. Determine the maximum of the absolute value of the magnetic flux.
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