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Lesson 11-3 Series and Parallel XC

Capacitor Charging Events
Before starting this module, you should be able to: When you complete this module, you should be able to: 
  • Describe the meaning of capacitive reactance and the effect it has upon AC current flow..
  • Explain the meaning of each term in the equation for total capacitive  reactance in a series circuit.
  • Calculate the total capacitive  reactance of a series circuit, given the values of the individual reactanaces.
  • Explain the meaning of each term in the equation for total capacitive reactance in a parallel circuit.
  • Calculate the total capacitive reactance of a parallel circuit, given the values of the individual reactanaces.

 
Topic 11-3.1 Capacitive Reactances in Series

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 Total Reactance 

XCT =  XC1 + XC2 + XC3 + ... + XCn   

where: 

    XCT =  total capacitive reactance

    XC1 , XC2 , XC3 , XCn = values of the individual reactances

The total capacitive reactance of a series XC circuit is equal to the sum of the individual reactances. 

Note that the procedure for finding the total icapacitive reactance of a parallel capacitor circuit is identical to finding the total resistance of a parallel resistor circuit. 

 

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What is the total inductive reactance of this circuit when XC1 = 150 W and XC2 = 75 W

Ans: 225 W

 

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Topic 11-3.2 Capacitive Reactances in Parallel 

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Total Reactance 

 

Use one of these inverse equations to determine the total capacitive reactance of a parallel capacitor circuit: 

or

    where: 

    XCT =  total capacitive reactance 
    XC1 , XC2 , XC3 , XCn = values of the individual reactances

 

The procedure for finding the total icapacitive reactance of a parallel capacitor circuit is identical to finding the total resistance of a parallel resistor circuit.  

The total reactace of two capacitors in parallel can also be found by applying the product-over-sum formula: 

 Product-Over-Sum

 

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What is the total capacitive reactance of this circuit when XC1 = 150 W and XC2 = 200 W?  

Ans: 85.7 W

 

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