मराठी

Inductance

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Estimated time: 8 minutes
CBSE: Class 12

Introduction

Current can be induced in a coil in two ways:

  • By a change in flux caused by a neighbouring coil (mutual effect)
  • By a change in its own flux due to a changing current through itself (self-effect)

In both cases, the magnetic flux through the coil is directly proportional to the current producing it.

CBSE: Class 12

Definition: Flux Linkage

For a closely wound coil of N turns, the total magnetic flux associated with the coil is called the flux linkage.

CBSE: Class 12

Definition: Inductance

Inductance is the ratio of total magnetic flux linkage to the current producing it.

CBSE: Class 12

Inductance Depend On

Inductance depends only on:

  • The geometry of the coil (shape, size, number of turns)
  • The intrinsic material properties of the medium (permeability)

Inductance does not depend on the current flowing through the coil, just as capacitance does not depend on the charge stored or voltage applied.

CBSE: Class 12

Analogy with Capacitance

Inductance and capacitance are closely analogous quantities:

Property Inductance (L) Capacitance (C)
Defined by \[L=\frac{N\Phi_B}{I}\] \[C=\dfrac{Q}{V}\]
Depends on Coil geometry and material permeability Plate geometry and dielectric constant
Does NOT depend on Current I Charge Q or Voltage V
Nature Scalar Scalar
CBSE: Class 12

Nature, Unit, and Dimensions

Attribute Value
Nature Scalar quantity
SI Unit Henry (H)
Named after Joseph Henry
Dimensional Formula \[\left[ML^{2}T^{-2}A^{-2}\right\]
CBSE: Class 12

Key Points: Inductance

  • Current is induced in a coil either by flux from a neighbouring coil or by the coil's own changing flux.
  • For a closely wound coil, flux linkage = NΦB.
  • Inductance L is the constant of proportionality: NΦB = LI.
  • L depends only on coil geometry and material properties — not on current.
  • Like capacitance, inductance is a scalar with SI unit henry (H) and dimensional formula [ML2T−2A−2].
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