Question 5 If a current 5.0 A lags the applied voltage 230 V by an angle o, it can be resolved into two components, OA in phase with the voltage and OB lagging by 90°. If the phasor diagram in to a circuit possessing resistance and inductance in series, OA and OB must not be labelled IR and L respectively. It has become the practice to say that the power factor is lagging when the current lags the supply voltage, and leading when the current leads the supply voltage. This means that the supply voltage is regarded as the reference quantity. (b) An inductor coil is connected to a supply of voltage at 50 Hz and takes the total supply current. The coil dissipates 750 W. Calculate: (i) the resistance and the inductance of the coil; (ii) the power factor of the coil.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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Question 5
If a current 5.0 A lags the applied voltage 230 V by an angle o, it can be resolved into two
components, OA in phase with the voltage and OB lagging by 90°. If the phasor diagram in
to a circuit possessing resistance and inductance in series, OA and OB must not be labelled
IR and L respectively. It has become the practice to say that the power factor is lagging
when the current lags the supply voltage, and leading when the current leads the supply
voltage. This means that the supply voltage is regarded as the reference quantity.
(b) An inductor coil is connected to a supply of voltage at 50 Hz and takes the total
supply current. The coil dissipates 750 W. Calculate:
(i) the resistance and the inductance of the coil;
(ii) the power factor of the coil.
Transcribed Image Text:Question 5 If a current 5.0 A lags the applied voltage 230 V by an angle o, it can be resolved into two components, OA in phase with the voltage and OB lagging by 90°. If the phasor diagram in to a circuit possessing resistance and inductance in series, OA and OB must not be labelled IR and L respectively. It has become the practice to say that the power factor is lagging when the current lags the supply voltage, and leading when the current leads the supply voltage. This means that the supply voltage is regarded as the reference quantity. (b) An inductor coil is connected to a supply of voltage at 50 Hz and takes the total supply current. The coil dissipates 750 W. Calculate: (i) the resistance and the inductance of the coil; (ii) the power factor of the coil.
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