Inductive and Capacitive Reactances - AC circuits

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Homework Help Overview

The discussion revolves around the effects of frequency changes on amplitude in circuits with purely capacitive and inductive loads, specifically focusing on the relationships between voltage and current in these contexts.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand how to apply the equations for capacitive and inductive reactance to determine the behavior of voltage and current with varying frequency. Some participants suggest finding expressions for voltage and current through the capacitor and inductor.

Discussion Status

Participants are exploring the relationships between reactance, voltage, and current, with some guidance offered on simplifying the concepts. There is an acknowledgment of a potential typo in terminology, indicating an ongoing clarification process.

Contextual Notes

The original poster expresses uncertainty about applying the relevant equations and seeks connections to previous discussions, indicating a broader context of inquiry.

uzair_ha91
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Question:
If we increase the driving frequency in a circuit with a purely capacitive load, do (A) amplitude Vc and (B) amplitude Ic increase, decrease or remain the same?
If instead the circuit has a purely inductive load, do (C) amplitude V L and (D) amplitude I L increase, decrease or remain the same?
Relevant Equations:
Xc= 1/wC = V/I
X L= wL = V/I
Attempt at solution:
I don't understand how to apply there equations here to get the answer...So please tell me how to find the answer here... And also can you tell me whether there is a link between this question and this https://www.physicsforums.com/showthread.php?t=333786&goto=newpost (which i recently posted) ?
 
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let's re-simplify some things:

Inductance (you can assume this is as resistance for the time) of a capacitor XC=1/(2πfC)

For an inductor XL=2πfL

Can you find expressions for the Voltage and current through the capacitor and inductor?
 
Vc= Ic x Xc
V L=I L x X L
 
rock.freak667 said:
let's re-simplify some things:

Inductance (you can assume this is as resistance for the time) of a capacitor XC=1/(2πfC)

For an inductor XL=2πfL

Can you find expressions for the Voltage and current through the capacitor and inductor?

Small typo -- you meant "reactance" instead of "inductance"... (if you want to fix it, I'll just delete this post of mine to clean up)
 

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