If wattless current flows in the AC circuit, then the circuit is :

Options

A. Purely Resistive circuit
B. Purely Inductive circuit
C. LCR series circuit
D. RC series circuit only

Explanation

To solve the question, we need to understand the concept of wattless current in an AC circuit. Wattless current refers to the current that does not contribute to the real power consumed in the circuit. This typically occurs in circuits where the power factor is zero.

### Step-by-Step Solution:

1. **Understanding Wattless Current**:
- Wattless current occurs when the instantaneous power in the circuit is zero. This means that the current and voltage are out of phase by 90 degrees.

2. **Power Factor Concept**:
- The power factor (cos φ) is defined as the cosine of the phase angle (φ) between the current and voltage waveforms. If cos φ = 0, it indicates that the current and voltage are 90 degrees out of phase.

3. **Identifying Circuit Types**:
- In AC circuits, the power factor can be zero in two specific types of circuits:
- **Purely Inductive Circuit**: In this case, the current lags the voltage by 90 degrees, resulting in a power factor of zero.
- **Purely Capacitive Circuit**: Here, the current leads the voltage by 90 degrees, also resulting in a power factor of zero.

4. **Analyzing the Options**:
- The options provided are:
1. Purely Resistive
2. Purely Inductive
3. LCR Circuit
4. RC Circuit
- From our understanding, the purely resistive circuit has a power factor of 1 (cos φ = 1), which does not correspond to wattless current. The LCR circuit and RC circuit can have non-zero power factors depending on the values of L, C, and R.

5. **Conclusion**:
- The correct answer is that the circuit is purely inductive (option 2) because in a purely inductive circuit, the wattless current flows, leading to zero real power consumption.

### Final Answer:
The circuit is **purely inductive**.

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