The Elements of Alternating Currents
The Elements of Alternating Currents
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. 636 48. Power. As pointed out in Article 22, Chapter II. , the power developed by an alternating e. M. F. Pulsates and in most practical problems it is the average power de- veloped which is the important consideration. Let e = E sin tot be an harmonic e. M. F. Acting on a circuit and i = I sin (cat 0) the current produced in the circuit ; 6 being the difference in phase of the e. M. F. And current as shown in Fig. 48. The power developed at a given instant is ei and in order to estimate the ...average power developed we must find an expression for the average value of ei. We have ei = EI sin cot sin (cot 6) or since sin (cot 6) = sin cot cos 6 cos cot sin 6, we have ei = UJcos d sin 2 cot El sin 6 sin cot cos cot. Hence by equation (33) Average ei EI cos 6 av. Sin *a)t EI sin 6 av. Sin cot cos o)t. The average value of sin cot cos cot is zero since it passes through positive and negative values alike. The average va!ue of sin Wis j. Therefore, 4 50 THE ELEMENTS OF ALTERNATING CURRENTS.
What to read after The Elements of Alternating Currents?
You can find similar books in the "Read Also" column, or choose other free books by William S William Suddards Franklin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. 636 48. Power. As pointed out in Article 22, Chapter II. , the power developed by an alternating e. M. F. Pulsates and in most practical problems it is the average power de- veloped which is the important consideration. Let e = E sin tot be an harmonic e. M. F. Acting on a circuit and i = I sin (cat 0) the current produced in the circuit ; 6 being the difference in phase of the e. M. F. And current as shown in Fig. 48. The power developed at a given instant is ei and in order to estimate the ...average power developed we must find an expression for the average value of ei. We have ei = EI sin cot sin (cot 6) or since sin (cot 6) = sin cot cos 6 cos cot sin 6, we have ei = UJcos d sin 2 cot El sin 6 sin cot cos cot. Hence by equation (33) Average ei EI cos 6 av. Sin *a)t EI sin 6 av. Sin cot cos o)t. The average value of sin cot cos cot is zero since it passes through positive and negative values alike. The average va!ue of sin Wis j. Therefore, 4 50 THE ELEMENTS OF ALTERNATING CURRENTS.
What to read after The Elements of Alternating Currents?
You can find similar books in the "Read Also" column, or choose other free books by William S William Suddards Franklin to read onlineMoreLess
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