High School

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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 equal sides of 1.55 m.

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

To know more about magnetic flux:

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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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