Answer:
(a) 0.00245 Wb
(b) 0.000645 H
Explanation:
(a) The magnetic flux, Ф, through a coil of radius, r, having N turns due to a magnetic field, B, is given as:
Ф = [tex]NBA[/tex]
where A = area of coil = [tex]\pi r^2[/tex]
Ф = NB[tex]\pi r^2[/tex]
Ф = [tex]30 * 2.6 * 10^{-3} * \pi * 0.1^2[/tex]
Ф = 0.00245 Wb or [tex]2.45 * 10^{-3} Wb[/tex]
(b) If the magnetic flux through the coil vanishes, the magnetic flux due to the coil will be:
Ф = [tex]LI[/tex]
where L = inductance in the coil and I = current in the coil
Therefore:
L = Ф/I
L = 0.00245/3.8
L = 0.000645 H or [tex]6.45 * 10^{-4} H[/tex]