In a series RLC circuit, what is the condition for resonance?
Practice Questions
Q1
In a series RLC circuit, what is the condition for resonance?
R = 0
L = C
ωL = 1/ωC
V = I
Questions & Step-by-Step Solutions
In a series RLC circuit, what is the condition for resonance?
Step 1: Understand that a series RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in a single loop.
Step 2: Know that resonance occurs when the circuit can oscillate at its natural frequency.
Step 3: Identify the two key components involved in resonance: the inductor (L) and the capacitor (C).
Step 4: Recognize that the inductor stores energy in a magnetic field and the capacitor stores energy in an electric field.
Step 5: Learn that at resonance, the inductive reactance (which depends on the frequency and the inductance) equals the capacitive reactance (which depends on the frequency and the capacitance).
Step 6: Write the mathematical condition for resonance: ωL = 1/ωC, where ω is the angular frequency.
Step 7: Understand that this equation means that the energy stored in the inductor and the energy stored in the capacitor are balanced, allowing for maximum current flow in the circuit.
