QuestionJune 5, 2025

A series R-L-C circuit consists of a 100Omega Resistor, a 75Omega Inductive Reactance and a 150Omega Capacitive Reactance. If we wish to maximize the circuit current how can we do this? Raise the frequency until XL=Xc Lower the Frequency until XL=Xc Can't be done Double the value of R

A series R-L-C circuit consists of a 100Omega Resistor, a 75Omega Inductive Reactance and a 150Omega Capacitive Reactance. If we wish to maximize the circuit current how can we do this? Raise the frequency until XL=Xc Lower the Frequency until XL=Xc Can't be done Double the value of R
A series R-L-C circuit consists of a 100Omega Resistor, a 75Omega Inductive Reactance and a 150Omega Capacitive Reactance. If we wish to maximize the circuit current how can we do this? Raise the frequency until XL=Xc Lower the Frequency until XL=Xc Can't be done Double the value of R

Solution
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Answer

Raise the frequency until X_L = X_C Explanation 1. Identify Condition for Maximum Current Maximum current in an R-L-C circuit occurs at resonance, where the inductive reactance X_L equals the capacitive reactance X_C. 2. Determine Frequency Adjustment To achieve resonance, adjust the frequency so that X_L = X_C. This can be done by either raising or lowering the frequency until this condition is met.

Explanation

1. Identify Condition for Maximum Current<br /> Maximum current in an R-L-C circuit occurs at resonance, where the inductive reactance $X_L$ equals the capacitive reactance $X_C$.<br /><br />2. Determine Frequency Adjustment<br /> To achieve resonance, adjust the frequency so that $X_L = X_C$. This can be done by either raising or lowering the frequency until this condition is met.
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