Average power consumed by pure inductive and pure capacitive circuits is zero and such circuits are called …………. .

Answer

To solve the question, we need to understand the behavior of pure inductive and pure capacitive circuits in terms of power consumption.

### Step-by-Step Solution:

1. **Understanding Pure Inductive and Pure Capacitive Circuits**:
- A pure inductive circuit consists only of an inductor (L) and an alternating current (AC) source. The current lags the voltage by 90 degrees (π/2 radians).
- A pure capacitive circuit consists only of a capacitor (C) and an AC source. The current leads the voltage by 90 degrees (π/2 radians).

2. **Average Power Calculation**:
- The average power (P) consumed in an AC circuit can be calculated using the formula:
\[ P = VI \cos(\phi) \]
where \( V \) is the voltage, \( I \) is the current, and \( \phi \) is the phase difference between the voltage and current.
- In pure inductive and pure capacitive circuits, the phase difference \( \phi \) is ±90 degrees, which means \( \cos(90^\circ) = 0 \).

3. **Conclusion on Average Power**:
- Since the average power \( P \) is zero for both pure inductive and pure capacitive circuits, we conclude that these circuits do not consume average power.

4. **Terminology**:
- Circuits that consume zero average power are referred to as "wattless circuits" or "non-power consuming circuits".

### Final Answer:
The average power consumed by pure inductive and pure capacitive circuits is zero, and such circuits are called **wattless circuits**.

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