Can the phenomenon of resonance be exhibited in RL or RC circuit.

Answer

To determine whether the phenomenon of resonance can be exhibited in RL (Resistor-Inductor) or RC (Resistor-Capacitor) circuits, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Resonance**:
- Resonance occurs in a circuit when the inductive reactance (XL) equals the capacitive reactance (XC). This condition allows for maximum current to flow in the circuit at a specific frequency, known as the resonant frequency.

2. **Analyzing RL and RC Circuits**:
- In an RL circuit, the circuit consists of a resistor (R) and an inductor (L). The inductive reactance (XL) is present, but there is no capacitive reactance (XC) since there is no capacitor in the circuit.
- In an RC circuit, the circuit consists of a resistor (R) and a capacitor (C). The capacitive reactance (XC) is present, but there is no inductive reactance (XL) since there is no inductor in the circuit.

3. **Condition for Resonance**:
- The condition for resonance is given by the equation:
\[ V = I \cdot (X_L - X_C) = 0 \]
- This implies that:
\[ I \cdot X_L = I \cdot X_C \]
- For resonance to occur, both inductive and capacitive reactances must be present and equal.

4. **Conclusion**:
- Since RL circuits only have inductive reactance and RC circuits only have capacitive reactance, neither circuit can satisfy the condition for resonance. Therefore, resonance cannot occur in either RL or RC circuits.

5. **Final Answer**:
- The phenomenon of resonance cannot be exhibited in RL or RC circuits. The resonance phenomenon requires both inductance and capacitance, which are not present together in these circuits.