Question:
The total inductance of two inductances \(L_1\) and \(L_2\) with series opposing connection and mutual inductance \(M\) is:
The total inductance of two inductances \(L_1\) and \(L_2\) with series opposing connection and mutual inductance \(M\) is:
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Use \(L_{\text{total}} = L_1 + L_2 \pm 2M\) depending on aiding or opposing configuration.
Updated On: May 26, 2025
- \(L_1 - L_2\)
- \(L_1 + L_2\)
- \(L_1 + L_2 + 2M\)
- \(L_1 + L_2 - 2M\)
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The Correct Option is D
Solution and Explanation
For inductors in series with mutual coupling:
- If aiding: \(L_{\text{total}} = L_1 + L_2 + 2M\)
- If opposing: \(L_{\text{total}} = L_1 + L_2 - 2M\)
Since the connection is series opposing, use the second formula.
- If aiding: \(L_{\text{total}} = L_1 + L_2 + 2M\)
- If opposing: \(L_{\text{total}} = L_1 + L_2 - 2M\)
Since the connection is series opposing, use the second formula.
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