New PDF release: Alternating Currents -A Text-Book for Students of

By Charles George Lamb

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Extra resources for Alternating Currents -A Text-Book for Students of Engineering

Example text

CHAPTER IV. THE CHOKING COIL AND TRANSFORMER. A Choking Coil. Ideal case. choking coil consists of an iron core suitably surrounded by a winding in which the alternating current flows. Let the dimensions of the apparatus (see Fig. 35) Fig. 35. be such that the mean length of the iron circuit is I centimetres, its cross section s square centimetres, and let the relation between the magnetising force, H, and the resulting induction, B, for the iron of which it is made be as given in Fig. 36. Let us assume that a current is passing of such an amount as to produce some definite maximum value of this induction, which we will call B.

25. In this case we evidently have mean (cm c8 R) = k. a. But if the . Fig. 25. oL. Or if that lost in the series coil, + cm S = c s R. oL. a, the resistance of the shunt be constant under all conditions, a.. Such an instrument is known as a Wattmeter. From the way in which we have deduced its law it is evident that the calibration and constant are the same both for direct and for For alternating power even when the latter is of any wave form. the purpose of determining the constant it is not necessary to actually waste the power corresponding to any required reading, the main current can be supplied from one source and measured by an ammeter while the pressure is applied to the shunt circuit from another and measured by a voltmeter.

Will be generated in that coil given by e O = or e T-^, = p . 4> . T . F. will be corresponding virtual value will be But Hence the maxi- cos pt. T, and the this is the only pressure existing in the coil since the resistance is zero, and hence the applied pressure must be exactly equal and opposite to this. The vector representation will be as in Fig. 37, & M Fig. 37. OF is the maximum flux and OM the corresponding magnetoOG is the -current. In the present case these motive force while OE vectors all point in the same direction.

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Alternating Currents -A Text-Book for Students of Engineering by Charles George Lamb


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