How Do You Calculate Total Impedance in a Mixed RLC Parallel Circuit?

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To calculate the total impedance in a mixed RLC parallel circuit, one must consider the resistive and reactive components. The resistance is given as R = 10^4 ohms, while the inductive reactance is X = 100 ohms, represented as +jX. Each capacitor contributes a negative reactance of -jX, balancing the inductor's positive reactance. The total impedance can be found by combining these components using the formula for parallel circuits, ensuring that the inductive and capacitive reactances cancel each other out. Understanding the circuit layout is crucial for accurate calculations.
trailtiger
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Circuit analysis - PLEASE HELP!

Here is the question:

R= 10^4
X = 100 ohms

-----I I-----------I I------
I I
I I
I I
(INDUCTOR) (RESISTOR)
I I
I I
--------------------------

The inductor is +jX
The capacitors are each -jX

Find the total impedance for the circuit so that the impedance of the inductor has the same mag. but opposite sign as each capacitor.
 
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