Determine impedance - resultant current and power factor, Electrical Engineering

Determine Impedance - Resultant current and Power factor:

In series R-L circuit, illustrated in Figure , Determine

1.      Impedance,

2.      Resultant current,

3.      Power factor and its nature, and

4.      Quality factor.

66_Determine Impedance - Resultant current and Power factor.png

Figure

Solution

The inductive reactance XL is given by

XL = ωL

= 2π fL

= 2π × 50 × 0.1 Ω

= 31.42 Ω

The impedance in rectangular form is given by

Z = R + j X L  = 10 + j 31.42 Ω

In polar form   Z = 32.97 ∠ 72.345o Ω

The resultant current is given by

i = ν / Z = 220 ∠ 0o / 32.97 ∠ 72.345o

= 6.672 ∠ - 72.345o Amp.

The current is lagging (since the circuit is inductive).

The power factor angle, φ, is the angle between voltage current

φ = 72.345o (lagging)

∴          p.f. cos φ = cos (72.345o)

= 0.303 (lag)

On the other hand, the power factor may be determined by

cos φ = R/ Z

=          10 /32.97

= 0.303 (lag)

Quality factor is given by Q = 1/ cos φ = 3.3 .

Posted Date: 2/5/2013 1:03:06 AM | Location : United States







Related Discussions:- Determine impedance - resultant current and power factor, Assignment Help, Ask Question on Determine impedance - resultant current and power factor, Get Answer, Expert's Help, Determine impedance - resultant current and power factor Discussions

Write discussion on Determine impedance - resultant current and power factor
Your posts are moderated
Related Questions
(a) For a series RLC resonant circuit, find an expression for the voltage across the resistance VR and obtain the ratio V R /V S , where V S is the applied voltage. Identify the e

The increase in the current is building up the magnetic field surrounding the coil. Energy is stored in that field. Consider the energy supplied by the voltage source during the

Q. How do you differentiate between dual beam and dual trace oscilloscope? Sol. There are two separate vertical input channels A, B and these use separate attenuator and prea

(a) Show the equivalent NOR realizations of the basic NOT, OR, and AND gates. (b) Show the equivalent NAND realization of the basic NOT, AND, and OR gates.

Merits and Demerits of Voltage divider bias: Merits: 1. Not like the above circuits, only one dc supply is essential. 2. Operating point is approximately independent o

Examples of attribute data relevant for a power utility: Examples of attribute data relevant for a power utility are given below. •          Consumer data such as categor

1) Assume that we are given the continuous-time signal xa (t) = xa1 (t) + xa2 (t) + xa3 (t), where, xa1 (t) = 2 + cos3 (2pf1 t + p 3 ) + 2 cos(2pf2 t), xa2 (t) = 2 cos(2pf3 t)

Q. The K map of a logic function is shown in Figure. (a) Obtain a POS expression and its corresponding realization. (b) For the purpose of comparison, obtain the correspondin

A 9.1V zener diode has a nominal voltage fall at a test current of 28mA. The internal resistance of the zener diode is 5 ohms. Find the voltage drop across the zener diode at zener