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By R. A. Ashen

ISBN-10: 040801251X

ISBN-13: 9780408012515

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Hence, for circuit analysis purposes, a dot is assigned to a pair of coil ends which have the same natural polarity. In other words, if current is instantaneously increasing through one of the coils at the dotted end, the dotted end of the other coil has induced positive polarity at that instant, with the tendency to increase current out of the coil at that end. 4(b). 5(a). (a) #1 R /wZ. 5(a) dot notation for mutual inductance - M) (b) electrical equivalent circuit The natural current directions, with one current entering at a dotted end and the other leaving give subtractive fluxes and hence negative signs for the mutual voltages, since the overall induced voltage in either circuit must be reduced.

9. Here, voltage may be conveniently represented by the expression y/lV sin (cot-cp), and the resulting current is y/lcoCV cos (cot — cp). 9(a). In this case, the current leads the voltage by n/2 rad, as opposed to the equivalent lag in the inductive case. 9(b). 28) coC 1 /(coC) is termed capacitive reactance and is given the symbol Xc. T h e presence of —j in the equation indicates the n/2 rad lag of the voltage behind the current in the capacitor. c. 7 Impedance The impedance of a circuit, or any individual circuit component, is defined as the ratio of potential difference between the ends of the circuit to current flowing through it.

19) Since k defines how closely the coils are linked magnetically, it is called the coefficient of coupling. 21) where the signs of the mutual voltages depend on the respective winding directions. 23) Inclusion of mutual inductance in networks 47 It is necessary to introduce a convention to determine the polarity of the mutual voltages in the above equations. Hence, for circuit analysis purposes, a dot is assigned to a pair of coil ends which have the same natural polarity. In other words, if current is instantaneously increasing through one of the coils at the dotted end, the dotted end of the other coil has induced positive polarity at that instant, with the tendency to increase current out of the coil at that end.

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Basic Electrotechnology by R. A. Ashen


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