Calculate Load Impedance: Circuit Analysis for PF 0.95, 1, and 0.45 Lagging

In summary: Is that it?In summary, the power factor of the load in a circuit depicted in FIG 11.40 affects the measured impedances by determining the angle between the voltage and current. The load impedance can be determined by using the given values of the resistance and current in parallel with the load. In this case, the load is capacitive as the current leads the voltage, and the angle of the load impedance is 38.19 degrees.
  • #1
DODGEVIPER13
672
0

Homework Statement


Determine the load impedance for the circuit depicted in fIG 11.40 if the source is operating at a PF of (a) 0.95 leading: (b) unity: (c) 0.45 lagging.


Homework Equations


uploaded


The Attempt at a Solution


uploaded. I am not really sure what to do please see attachment.
 
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  • #2
DODGEVIPER13 said:

Homework Statement


Determine the load impedance for the circuit depicted in fIG 11.40 if the source is operating at a PF of (a) 0.95 leading: (b) unity: (c) 0.45 lagging.


Homework Equations


uploaded


The Attempt at a Solution


uploaded. I am not really sure what to do please see attachment.

Attachment not showing for me...
 
  • #3
forgot to upload it sorry.
 

Attachments

  • EPSON011.jpg
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  • #4
So what are the relevant equations? How does power factor affect the measured impedances? TBH, it's pretty hard to read your upload. It would be much better if you could learn to type your equations into your question threads
 
  • #5
well PF=P/((Ieff)(Veff)), Ieff=Im/sqrt(2), Veff=Vm/sqrt(2), apparent power= (Veff)(Ieff), P=IV. PF depending on whether it is leading or lagging it can be purely resistive or reactive.
 
  • #6
So A impedance value would have a reactive and resistive component. In (a) it is leading so purely resistive correct so it would just be the resistor value for R and I have a current so I can find V.
 
  • #7
DODGEVIPER13 said:
In (a) it is leading so purely resistive correct ...
What does the power factor of the load tell you about the angle between the voltage across it and the current through it?

Anyway, you need more information than you have provided in the problem statement to determine both the angle and magnitude of the 'load' impedance. Are you sure you've included everything you were given?
 
  • #8
yah that's it. I uploaded the circuit diagram if that helps R= 1000 ohm and I= 275(20 degrees) mA. Load, resistor, and current source are all in parallel
 
  • #9
lets see here the current leads voltage here so capacitive load.If I am right then the cosine^-1(.95)=18.19 degrees?
 

Related to Calculate Load Impedance: Circuit Analysis for PF 0.95, 1, and 0.45 Lagging

What is load impedance?

Load impedance refers to the total impedance that a circuit sees when a load is connected to it. It includes both the resistance and reactance of the load.

Why is it important to find the load impedance?

Finding the load impedance is important because it allows us to determine the power being delivered to the load and to ensure that the circuit is operating efficiently. It also helps us to match the load impedance to the source impedance for maximum power transfer.

How do we find the load impedance?

The load impedance can be found by using Ohm's law, which states that impedance equals voltage divided by current. It can also be found by using impedance formulas for different circuit components, such as resistors, capacitors, and inductors.

What are some factors that affect the load impedance?

The load impedance can be affected by the type of circuit components used, the length and configuration of the circuit, and the frequency of the signal being transmitted. It can also be affected by external factors such as temperature and humidity.

How can we measure the load impedance?

The load impedance can be measured using an impedance meter or by using a multimeter to measure the voltage and current of the circuit and then calculating the impedance using Ohm's law. It can also be measured using network analyzers or other specialized equipment.

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