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Two 300 ╬╝H coils in series without mutual coupling have a total inductance of
300┬а╬╝H
600┬а╬╝H
150┬а╬╝H
75┬а╬╝H
600┬а╬╝H
When two inductors are connected in series without any magnetic coupling, their equivalent inductance is simply the arithmetic sum of their individual inductances. For two identical inductors, this results in a total value double that of a single unit.
When two inductors are connected in series without any magnetic coupling, their equivalent inductance is simply the arithmetic sum of their individual inductances. For two identical inductors, this results in a total value double that of a single unit.
LeqтАЛ=L1тАЛ+L2тАЛ тАФ Equivalent inductance for series connection without mutual coupling
Inductors in series carry the same current I. The total voltage drop across the combination is V=LeqтАЛdtdiтАЛ=L1тАЛdtdiтАЛ+L2тАЛdtdiтАЛ. Since there is no mutual inductance M, the magnetic fields do not influence each other, leading to LeqтАЛ=L1тАЛ+L2тАЛ.
The total inductance of series components is additive when magnetic coupling is absent.
If mutual inductance M existed, the formula would be LeqтАЛ=L1тАЛ+L2тАЛ┬▒2M.
Units remain constant in addition; 300┬а╬╝H+300┬а╬╝H=600┬а╬╝H.
Simple additive calculation for series circuits.
Easily configurable to reach higher inductance values using standard components.
Increases physical space and potential for unintentional EMI if not shielded.
Series resistance of windings also adds up, increasing losses.
Inductive filtering in power supplies.
Matching circuits in RF design.
Inductance is defined by the property of a conductor where an electric current produces a magnetic field.
Option A (300 ╬╝H) would be the result if they were in parallel.
Option C (150 ╬╝H) is the result for identical inductors in parallel (L/2).
B is correct тАФ The total inductance is the sum of the individual inductances, 300┬а╬╝H+300┬а╬╝H=600┬а╬╝H.
Always check for 'mutual coupling' in exam questions; if specified, you must include the ┬▒2M term, but if explicitly stated as 'without mutual coupling', treat them as isolated components.