SI unit of magnetomotive force (mmf) in electromagnetic circuits Identify the correct SI unit for magnetomotive force, considering mmf = N * I for a coil with N turns carrying current I.
-
AA (ampere)
-
BWb (weber)
-
CT (tesla)
-
DV (volt)
-
EA·turn is used colloquially but reduces to ampere in SI base units
Answer
Correct Answer: A (ampere)
Explanation
Introduction / Context:Magnetomotive force (mmf) drives magnetic flux in a magnetic circuit analogous to how electromotive force drives current in an electric circuit. Understanding correct SI units prevents confusion when relating coil parameters, reluctance, and flux.
Given Data / Assumptions:
- Definition: mmf = N * I, where N is number of turns and I is current in amperes.
- Reluctance R_m relates mmf and flux via mmf = Φ * R_m.
- We use SI base units.
Concept / Approach:Since N is a pure count (dimensionless), mmf carries the units of current. Thus, the SI unit for mmf is ampere (A). In practice, engineers often speak of ampere-turn (A·t) to emphasize that increasing turns multiplies the mmf, but this is not a distinct SI base unit.
Step-by-Step Solution:Start from mmf = N * I.Dimensional analysis: N is dimensionless, I has unit A.Therefore, unit of mmf is A.
Verification / Alternative check:Textbook tables list ampere (or ampere-turn as a descriptive derivative) for mmf; standards agree that the base SI unit reduces to ampere.
Why Other Options Are Wrong:Weber (Wb) measures magnetic flux; tesla (T) measures flux density; volt (V) measures electrical potential difference. None represent mmf.
Common Pitfalls:
- Believing that ampere-turn is a separate SI unit; it is a convenient expression but dimensionally equivalent to ampere.
- Confusing mmf with magnetic field strength H, which has units A/m.
Final Answer:A (ampere)