Question 6A89

When two inductors are connected in series and there is no mutual coupling (meaning their magnetic fields do not interact), their individual inductances simply add up. Inductance represents an opposition to changes in current flow, similar to how resistance opposes current. In a series circuit, the total opposition to current change is the sum of the individual oppositions. Therefore, the total inductance $L_{total} = L_1 + L_2$. This principle is fundamental in series circuit analysis. Option B, the product of the individual inductances divided by their sum ($L_{total} = (L_1 \times L_2) / (L_1 + L_2)$), is the formula used for inductors connected in *parallel*, not series. Option C, infinite inductance, is incorrect as the total inductance will be a finite sum of the individual finite inductances. Option D is incorrect because option A correctly describes the behavior of series inductors without mutual coupling.