Answer:
[tex]B =0.574\ T[/tex]
Explanation:
given,
dimension of rectangular surface = 3.20 cm x 3.90 cm
angle of magnetic field above horizontal = 32°
θ = 90° - 32° = 58°
flux = Ф = 3.80 ×10⁻⁴ Wb
Magnetic filed = ?
[tex]\phi=\int B.ds[/tex]
[tex]\phi= B.ds cos \theta[/tex]
[tex]B =\dfrac{\phi}{ds cos \theta}[/tex]
[tex]B =\dfrac{3.8 \times 10^{-4}}{3.20 \times 3.9 \times 10^{-4}cos 58^0}[/tex]
[tex]B =0.574\ T[/tex]
The magnetic field produced is equal to [tex]B =0.574\ T[/tex]