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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Which of the following is not a unit of inductance?
Henry
Coulomb/Volt-ampere
Volt-second/Ampere
All of above
Coulomb/Volt-ampere
Inductance (L) is defined by the relation v=Ldtdi, which implies L=vdidt. The SI unit of inductance is the Henry (H), which is equivalent to Volt-second per Ampere (V·s/A).
Inductance (L) is defined by the relation v=Ldtdi, which implies L=vdidt. The SI unit of inductance is the Henry (H), which is equivalent to Volt-second per Ampere (V·s/A).
L=diV⋅dt — Defining relation for inductance
1 H=1 A1 V⋅s — Equivalence of Henry
The inductance L relates the magnetic flux linkage Ψ to current i (L=Ψ/i) or the voltage drop across an inductor to the rate of change of current. Since Ψ is measured in Weber (Wb) and 1 Wb=1 V⋅s, the unit becomes AmpereVolt⋅second, which is the Henry.
Inductance measures the ability of a circuit to store energy in a magnetic field.
The unit V⋅s/A is derived directly from Faraday's Law of Induction.
Option B (Coulomb/Volt-ampere) equates to C/(V⋅A)=(A⋅s)/(V⋅A)=s/V, which represents Capacitance/Resistance or related terms, but not inductance.
Inductors in filter circuits
Energy storage in magnetic components like transformers and motors
The dimension of inductance is [ML2T−2I−2].
Option B simplifies to s/V (seconds per Volt), which is dimensionally inconsistent with inductance.
B is correct — Coulomb/Volt-ampere is not a valid representation of Henry, as it results in units of s/V rather than V⋅s/A.
Always verify dimensional consistency by breaking down units into fundamental SI units (kg, m, s, A) when dealing with electromagnetic variables.