Definition of Inductance

Definition of Inductance:

Definition of Inductance – Voltage induced in a circuit is given by

Definition of Inductance

where ψ represents the flux linkages of the circuit in weber-turns (Wb-T). This can be written in the form

Definition of Inductance

where L=dψ/di is defined as the inductance of the circuit in henrys, which in di

general may be a function of i. In a linear magnetic circuit, i.e., a circuit with constant permeability, flux linkages vary linearly with current such that the inductance is constant given by

Definition of Inductance

If the current is alternating, the above equation can be written as

Definition of Inductance

where λ and I are the rms values of flux linkages and current respectively. These are of course in phase.

Replacing d/dt  in Eq. (2.1) by jω, we get the steady state AC voltage drop due to alternating flux linkages as

Definition of Inductance

On similar lines, the mutual inductance between two circuits is defined as the flux linkages of one circuit due to current in another, i.e.,

Definition of Inductance

The Voltage drop in circuit 1 due to current in circuit 2 is

Definition of Inductance

The concept of mutual inductance is required while considering the coupling between parallel lines and the influence of power lines on telephone lines.

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