Coupled circuit Alternating current circuits Corcoran Coefficient of

Coupled circuit Alternating current circuits Corcoran

Coefficient of coupling 1 2 1’ 2’ The coefficient of coupling between circuit 11’ and circuit 22’ will be defined as: Where, Z 12=Z 21=mutual inductance between circuit 1 and circuit 2 Z 11’= impedance seen looking into terminals 11’ with terminals 22’ open circuited Z 22’= impedance seen looking into terminals 11’ with terminals 22’ open circuited

Magnetically coupled circuit If a portion of the magnetic flux established by one circuit interlinks with a second circuit, the two circuit are coupled magnetically and energy may be transferred from one circuit to other by the way of the magnetic field which is common to the two circuits. Self Inductance Self inductance

Mutual inductance

Mutual inductance =

Coefficient of magnetic coupling The quantity of coupling between two coils is sometimes referred to as the Coefficient of Coupling. The formula for Coefficient of Coupling is:

Example 3, Problems 5, 6

Circuit directions and the sign of M §If the induced voltage of mutual inductance acts in the same direction as the induced voltage of self inductance, the sign of M is considered positive. §If it opposes the induced voltage, the sign of M is considered to be negative.

Dot convention

Dot convention

Dot convention

Direction of M

Dot convention

Direction of M

Dot convention

Circuit direction and the sign of M

FUCK THE COUPLED CKT • CAN U FUCK THE DOT CONVENTION? ? ? • YOU CAN’T? ? ? • AGAIN READ CAREFULLY……………