In a series RLC circuit, what is the condition for resonance?

₹0.0

Question: In a series RLC circuit, what is the condition for resonance?

Options:

Correct Answer: ωL = 1/ωC

Solution:

The condition for resonance in a series RLC circuit is ωL = 1/ωC.

In a series RLC circuit, what is the condition for resonance?

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.

Resonance in RLC Circuits – Resonance occurs when the inductive reactance (ωL) equals the capacitive reactance (1/ωC), leading to maximum current flow in the circuit.