Answer:
Step-by-step explanation:
a )
magnetic field inside the solenoid B = μ₀ n I where n is no of turns per unit length , I is current and μ₀ = 4 π x 10⁻⁷ .
Putting the values in the equation
B = 4 π x 10⁻⁷ x (430 / .115 ) x 36.5 x 10⁻³
= 1.7 x 10⁻⁴ T .
b ) magnetic flux through each turn
= B x A where A is cross sectional area of solenoid .
= 1.7 x 10⁻⁴ x π x 9.25² x 10⁻⁶
= 456.73 x 10⁻¹⁰ Tm² .
c ) Inductance of solenoid
L = flux associated with all turns / current
= 456.73 x 10⁻¹⁰ x 430 / (36.5 x 10⁻³)
= 5381 x 10⁻⁷
= 538 x 10⁻⁶ H
= 538 μH .
d )
magnetic field inside the solenoid depends upon current
magnetic flux through each turn depends upon current
inductance of the solenoid does not depend upon current because current is divided from total flux with solenoid.