Answer:
The inductance is 0.021 H.
Step-by-step explanation:
Given that,
Number of turns = 16
Current = 3 A
Total flux
![\phi=4*10^(-3)\ Tm^2](https://img.qammunity.org/2020/formulas/physics/college/bpgtac3woq3kckak9mpif9hg85crhu94bp.png)
We need to calculate the inductance
Using formula of total flux
![N\phi = Li](https://img.qammunity.org/2020/formulas/physics/college/l5b5ekkms7329cfmeojt4i9drt9z5v267u.png)
Where, i = current
N = number of turns
= flux
Put the value into the formula
![L=(16*4*10^(-3))/(3)](https://img.qammunity.org/2020/formulas/physics/college/9sw065uxrxeouik6pmjsqj51633vd0v9cm.png)
![L=0.021\ H](https://img.qammunity.org/2020/formulas/physics/college/gkuo7vq0k3cp6mn53i2d9us7pj9sqrkuin.png)
Hence, The inductance is 0.021 H.