Question

1. which formula is used for solving total inductance in parallel?

a l1 + l2 + l3 +...
b l1 - l2 - l3 -...
c \frac{l1 \times l2}{l1 + l2}
d \frac{l1 + l2}{l1 \times l2}

Explanation:

Step1: Recall inductance in parallel formula

For two inductors \(L_1\) and \(L_2\) in parallel, the formula for total inductance \(L_{total}\) is \(\frac{1}{L_{total}}=\frac{1}{L_1}+\frac{1}{L_2}\).
Cross - multiplying gives \(L_{total}=\frac{L_1\times L_2}{L_1 + L_2}\) (for two inductors in parallel).

Answer:

C. \(\frac{L1\times L2}{L1 + L2}\)