Question

Find the maximum and minimum values of inductance that can be obtained

using ten 10mH inductors.

Answer 1

 Series inductances

$$L_{TC}=L_1+L_2+...+L_{10}$$

$$=10(0.01H)=0.1H$$

Parallel  inductances

$$\dfrac{1}{L_{TP}}=\dfrac{1}{L_1}+\dfrac{1}{L_2}+...+\dfrac{1}{L_{10}}$$

$$=10(\dfrac{1}{0.01H})$$

$$L_{TP}=\dfrac{0.01H}{10}=0.001H=1mH$$

The maximum possible inductance is $0.1H=100mH.$

The mimimum possible inductance is $0.001H=1mH.$