[Quick] At what capacitance will the current in the resistor be a maximum?

AI Thread Summary
In a series RLC circuit connected to a 6.70 kHz source, the current in the resistor reaches its maximum at resonance when the inductive reactance (Xl) equals the capacitive reactance (Xc). The user initially struggled to identify the relevant equations but realized that using the condition Xl = Xc allows for solving the capacitance. At resonance, the phase angle (phi) is zero, indicating that the circuit is purely resistive. Understanding this relationship is crucial for determining the capacitance needed for maximum current. The discussion emphasizes the importance of resonance in RLC circuits for optimizing current flow.
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Homework Statement



A series RLC circuit is connected across a 6.70 kHz source. The 1.50 H inductor and the 1.35×103 kohm resistor are fixed whereas the capacitor is variable. At what capacitance will the current in the resistor be a maximum?

Homework Equations



No idea..

The Attempt at a Solution



I can't find any equations that will let me solve for capacitance in this situation. I know that current is maximum (resistance minimum) at resonance when Xl=Xc, and phi=0.

edit: nevermind, didn't think to just use Xl=Xc to solve for C...
 
Last edited:
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The current will be maximum at resonance. Do you know the relationship between Xl and Xc at resonance?
 

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