Mutual inductor

Mutual inductance requires two parts the inductors (L) and the coupling between the inductors (K). We will illustrate the use of the coupling part K with two circuits. The first circuit will have three inductors with unequal coupling. The second circuit will have four inductors with equal coupling. Wire the circuit shown below. The dots on the inductors are critical since they indicate the polarity of the mutual coupling. Make sure the dots on your schematic agree with the ones on the schematic shown. 

Mutual inductance requires two parts the inductors (L) and the coupling (K). 

L INDUCTOR or MUTUAL CELL BATTERY (A.C. CONSTANT (air core) INDUCTOR (electro- (3 CELLS POWER CURRENT (magnetic core) chemical, jn SERIES) SOURCE) A C. 

Inductors. Inductors have many turns of conductor wrapped around a cylinder if the cylinder is of a magnetic material, then the inductance L is much increased. L is measured in henrys. Two intertwined turns of wire will have mutual inductance M a current through one loop will induce a current in the second loop. The units of M are the same as for L. 

Transformers have a magnetic material (typically, Fe) and two inductors wrapped around it the magnet increases by a few thousandfold the mutual inductance Mbetween the two loops. Transformers are used to increase (step-up transformer) or decrease (step-down transformer) the voltage in the second circuit relative to the first. 

But coming to the inductor charging circuit (i.e. switch closed), we can t seem to connect this too readily to any of our immediate real-life experiences. Our basic question here is — why does the charging current in the inductor circuit actually increase with time. Or equivalently, what prevents the current from being high to start with We know there is no mutually repelling charge here, as in the case of the capacitor. So why ... 

We now know how the voltage and current (rather its rate of change), are mutually related in an inductor, during both the charging and discharging phases. Let us use this information, along with a more complete statement of the duality principle, to finally understand what really happens when we try to interrupt the current in an inductor. 

The two kinds of interaction, through exchange and through influence, are not exclusive of each other. They may coexist in superimposition, as, for instance, a capacitor or an inductor in electrodynamics, having a finite internal resistance, which means that a mutual influence and an interaction through an exchange by flows exist simultaneously. Such a dipole corresponds to the category of mixed dipoles, called capacitive-conductive or inductive-conductive. 

The mutual inductance is represented by shunt inductor L , since the magnetizing current is not coupled to the load. A resistor Rc is also placed in shunt, to represent the core loss due to hysteresis and eddy currents in the core. 

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