How is the equation for impedance in a parallel resonance LC circuit derived?

AI Thread Summary
At resonance frequency in a parallel resonance LC circuit, the impedance reaches its maximum value and is purely resistive. The impedance is expressed as L/Cr, but the derivation of this equation is not clearly explained in available resources. Users are seeking a step-by-step breakdown of how this relationship is established. Existing references do not provide adequate clarification on the derivation process. Understanding this derivation is essential for grasping the behavior of parallel resonance circuits.
uzair_ha91
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"At resonance frequency, the circuit impedance is maximum. It is resistive and its value is given L/Cr..."
The book doesn't explain how impedance equals L/Cr, so I'm confused here. How is it derived? (Can you please show all the steps?)
Thanking in advance...
 
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uzair_ha91 said:
"At resonance frequency, the circuit impedance is maximum. It is resistive and its value is given L/Cr..."
The book doesn't explain how impedance equals L/Cr, so I'm confused here. How is it derived? (Can you please show all the steps?)
Thanking in advance...

This resource should help you out:

http://en.wikipedia.org/wiki/RLC_circuit

.
 
Sorry , the article does not have that equation nor any explanation regarding that...
 
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