Answer:
(a) 9.65 mH
(b) doubled
Explanation:
A = 6 cm^2 = 6 x 10^-4 m^2, l = 20 cm = 0.2 m, i = 2.8 A, N = 1600
(a) The formula for the self inductance of a solenoid is given by
L = μ0 N^2 A / l
L = 4 x 3.14 x 10^-7 x 1600 x 1600 x 6 x 10^-4 / 0.2
L = 9.65 x 10^-3 H
L = 9.65 mH
(b) As we observe that the inductance is proportional to the area so if the area is doubled, then inductance is also doubled.
