You are given 13.0 m of thin wire. You form the wire into a circular coil with 30 turns.If this coil is placed with its axis parallel to a 0.19 T magnetic field, what is the flux through the coil?

Respuesta :

Answer:

Approximately 0.0852 Wb.

Explanation:

Find the radius of the circular coil from its circumference:

[tex]\displaystyle r = \frac{13.0}{30\times 2\pi}\; \rm m[/tex].

Find the area of this coil:

[tex]\displaystyle A = \pi r^{2} = {\frac{13.0}{30\times 2\pi}}^{2} = 0.00475647\; \rm m^{2}[/tex].

Find the magnetic flux linkage:

[tex]\displaystyle \phi= (B \times A) \cdot N = 0.00475647 \times 0.19 \times 30 \approx \rm 0.0852 \; Wb[/tex].