What is the impedance of a series RLC circuit at resonance?
Practice Questions
Q1
What is the impedance of a series RLC circuit at resonance?
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Questions & Step-by-Step Solutions
What is the impedance of a series RLC circuit at resonance?
Step 1: Understand what a series RLC circuit is. It consists of a resistor (R), an inductor (L), and a capacitor (C) connected in a series.
Step 2: Know what resonance means in this context. Resonance occurs when the inductive reactance (XL) and capacitive reactance (XC) are equal.
Step 3: At resonance, the formula for the total impedance (Z) of the circuit simplifies. The total impedance is given by Z = R + j(XL - XC), where j is the imaginary unit.
Step 4: Since XL = XC at resonance, the equation becomes Z = R + j(0). This means the imaginary part is zero.
Step 5: Therefore, the impedance at resonance is simply Z = R, which means it is equal to the resistance in the circuit.
