QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm. 9.1 Define magnetic flux density. 9.2 Calculate the magnetic flux density that passes through this rectangular coil with length 150 mm and width 90 mm.

NSC Technical Sciences Magnetic Fields: QUESTION 9 (Start on a new page.

QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm - NSC Technical Sciences - Question 9 - 2021 - Paper 1

Question 9

QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm. 9.1 Define magnetic... show full transcript

Worked Solution & Example Answer:QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm - NSC Technical Sciences - Question 9 - 2021 - Paper 1

Step 1

Define magnetic flux density.

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Answer

Magnetic flux density, denoted as B, is defined as the number of magnetic field lines that are perpendicular to a given surface. It can also be described as the number of field lines per unit area, which is expressed mathematically as:

$B = \frac{\Phi}{A}$

where,

$\Phi$ is the magnetic flux in Weber (Wb) and
$A$ is the area in square meters (m²).

Step 2

Calculate the magnetic flux density that passes through this rectangular coil with length 150 mm and width 90 mm.

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Answer

To calculate the magnetic flux density, we first need to determine the area of the rectangular coil:

Convert the dimensions from mm to m:
- Length = 150 mm = 0.150 m
- Width = 90 mm = 0.090 m
Calculate the area (A): $A = l \times b = 0.150 \times 0.090 = 0.0135 \ \, m^2$
Given the total magnetic flux ( $\Phi$ ) is 9 Wb, we use the formula to find B: $B = \frac{\Phi}{A} = \frac{9}{0.0135}$ $B \approx 666.67 \, T \$

Therefore, the magnetic flux density that passes through the rectangular coil is approximately 666.67 Tesla.

QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm - NSC Technical Sciences - Question 9 - 2021 - Paper 1

Worked Solution & Example Answer:QUESTION 9 (Start on a new page.) A total magnetic flux of 9 Wb passes through a rectangular coil with a length of 150 mm and a width of 90 mm - NSC Technical Sciences - Question 9 - 2021 - Paper 1

Define magnetic flux density.

Calculate the magnetic flux density that passes through this rectangular coil with length 150 mm and width 90 mm.

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