Unknown reactance how to solve?

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In summary, the conversation is about finding the unknown reactance, represented by X, in a circuit with two parallel impedances (Z1 = 4-j8 and Z2 = 1+j10) and a total power factor of 0.707. The formula for power factor (p.f. = Rtotal/Ztotal) is mentioned, and the attempt at a solution includes finding the combined impedance of the two parallel impedances using the appropriate formula. Further guidance is given to use the formula for combined impedance.
  • #1
herbgriffin
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unknown reactance ...how to solve?

Homework Statement


a circuit with the unknown X (pure reactance) in sereis with a two parallel impedance.Z1= 4-j8 ; Z2= 1+j10 ...and total power factor is 0.707.. find the unknown reactance.


Homework Equations


p.f. = Rtotal/Ztotal...


The Attempt at a Solution


Z1= 8.94 angle of -63.43 degrees
Z2=10.05 angle of 84.29 degrees
i simplified the parallel Z1and Z2
Z12= 16.68 angle of -0.94 degrees..
or Z12= 16.68-j0.27
and i don't know how to continue...
 
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  • #2
hi herbgriffin! :smile:

(have a degree: ° and try using the X2 icon just above the Reply box :wink:)

start by finding the combined impedance of the two parallel impedances …

what formula should you be using for that? :smile:
 

Related to Unknown reactance how to solve?

1. What is reactance?

Reactance is the measure of how much a circuit resists a change in the flow of alternating current (AC). It is represented by the letter X and is measured in ohms.

2. How is reactance different from resistance?

While resistance measures the opposition to the flow of both AC and direct current (DC), reactance specifically measures the opposition to the flow of AC. Additionally, resistance is caused by the physical properties of a material, while reactance is caused by the capacitance or inductance of a circuit.

3. What is unknown reactance?

Unknown reactance refers to a situation where the value of reactance in a circuit is not known, and needs to be determined in order to solve a problem or design a circuit.

4. How do you solve for unknown reactance?

To solve for unknown reactance, you need to use the equations and principles of electrical circuits. This involves calculating the impedance, which is the total opposition to the flow of AC in a circuit, and then using this value to solve for the reactance using the appropriate equation.

5. What are some common methods for solving unknown reactance?

Some common methods for solving unknown reactance include using Ohm's law, Kirchhoff's laws, and the equations for calculating impedance in series and parallel circuits. Additionally, there are various online tools and software programs available that can help with solving for unknown reactance.

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