Basic Electrical Installation Work

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Figures 10. 10.6, is lagging the current some angle φ. 10.5 A series circuit and phasor diagram.5 and 10. From Fig. The impedance triangle We have now established the general shape the phasor diagram for a series a. 10. The phasor addition these voltages equal the total voltage which, can seen Fig.6, the current will flow through the resistor and capaci- tor causing voltage drops and VC.7 must equal.6 show the voltage phasors, but we know that IR, IXL, IXC and IZ, and therefore the pha- sor diagrams (a) and (b) Fig. L VL VR R I VT I VL VT VR FIGURE 10.7(c).Alternating current theory and electrical machines 199 scale and phase with the current and drawn scale and leading the current 90°. 10. C VC VR R I I VT VT VR FIGURE 10.c. circuit.6 A series circuit and phasor diagram. The voltage will phase with the current and will lag the current 90°.7(b), by the theorem Pythagoras, have: ( ) IZ IX 2 X 2 If now divide throughout I2 we have: Z X Z X 2 2 2 2 or Ω The phasor diagram can simplified the impedance triangle given in Fig. In circuit containing resistor and capacitor connected series as shown Fig. . The phasor addition these two voltages gives the mag- nitude and direction VT, which leads the current some angle φ. 10