Answer:
a) (2.436 × 10⁻⁷) Wb
b) (7.308 × 10⁻⁷) Wb
Explanation:
Magnetic flux is the dot product of the magnetic field vector and the Area vector.
Mathematically, it is given as
Φ = BA cos θ
where B = magnetic field strength
A = Cross sectional Area of the loop enclosed
θ = angle between the magnetic field and the plane of the area.
a) B = 0.250 T
To find A, the perimeter of the loop is given as 4.00 mm.
Perimeter of a square = 4L
4L = 4.00
L = 1.00 mm = 0.001 m
The area is given as L²
A = (0.001)² = 0.000001 m²
θ = 13°
Φ = BA cos θ
Φ = 0.25 × 0.000001 × cos 13°
Φ = 0.0000002436 Wb = (2.436 × 10⁻⁷) Wb
b) Another loop lies in the same plane but has an irregular shape, resembling a starfish. Its area is three times greater than that of the square loop
Φ = BA cos θ
B = 0.25 T
A = 3 × 0.000001 = 0.000003 m²
θ = 13°
Φ = 0.25 × 0.000003 × cos 13°
Φ = 0.0000007308 Wb = (7.308 × 10⁻⁷) Wb
Hope this Helps!!!
