Suppose two 50 mH inductors are connected in parallel with each other. What will their combined inductance be?

Suppose two 50 mH inductors are connected in parallel with each other. What will their combined inductance be?

• A. 100 mH
• B. 50 mH
• C. 25 mH
• D. 75 mH

Answer: (C)

When two inductors are connected in parallel, the total or equivalent inductance can be found using the formula for inductors in parallel. For two inductors with the same inductance value \(L\), the formula simplifies to \(L_{total} = \frac{L}{n}\), where \(n\) is the number of inductors in parallel. In this case, you have two inductors, each with an inductance of 50 mH. So, applying the formula: \[ L_{total} = \frac{50 \, \text{mH}}{2} = 25 \, \text{mH} \] This means that when the two 50 mH inductors are connected in parallel, their combined inductance will be 25 mH. The characteristic of inductors in parallel is that the total inductance decreases, as compared to a single inductor’s value. This aligns with the calculated result of 25 mH, making it the correct answer in this scenario.

When two inductors are connected in parallel, the total or equivalent inductance can be found using the formula for inductors in parallel. For two inductors with the same inductance value (L), the formula simplifies to (L_{total} = \frac{L}{n}), where (n) is the number of inductors in parallel. In this case, you have two inductors, each with an inductance of 50 mH.

So, applying the formula:

[

L_{total} = \frac{50 , \text{mH}}{2} = 25 , \text{mH}

]

This means that when the two 50 mH inductors are connected in parallel, their combined inductance will be 25 mH. The characteristic of inductors in parallel is that the total inductance decreases, as compared to a single inductor’s value. This aligns with the calculated result of 25 mH, making it the correct answer in this scenario.