Select possible correct option for a circuit with net reactance zero.

Options

A. Circuit contains resistor and capacitor.
B. Cricuit contains inductor , capacitor and resistor .
C. Circuit contains resistor and inductor .
D. None of these

Explanation

To solve the question regarding the conditions for a circuit to have net reactance equal to zero, we will follow these steps:

### Step-by-Step Solution:

1. **Understand Reactance**:
- Reactance is the opposition to the change of current in an AC circuit. It can be capacitive (Xc) or inductive (Xl).
- Capacitive reactance (Xc) is given by the formula:
\[ X_c = \frac{1}{\omega C} \]
- Inductive reactance (Xl) is given by the formula:
\[ X_l = \omega L \]

2. **Condition for Zero Net Reactance**:
- For the net reactance to be zero, the inductive reactance must equal the capacitive reactance:
\[ X_l = X_c \]
- This implies:
\[ \omega L = \frac{1}{\omega C} \]
- Rearranging gives:
\[ \omega^2 LC = 1 \]

3. **Analyzing Circuit Combinations**:
- If the circuit contains only a resistor and a capacitor (R and C), the net reactance cannot be zero because there is no inductor to balance the capacitive reactance.
- If the circuit contains only a resistor and an inductor (R and L), the net reactance cannot be zero because there is no capacitor to balance the inductive reactance.
- If the circuit contains a resistor, an inductor, and a capacitor (R, L, and C), the net reactance can be zero if the values of Xl and Xc are equal.

4. **Conclusion**:
- The only valid configuration that allows for net reactance to be zero is a circuit that contains an inductor, a capacitor, and a resistor, where the inductive and capacitive reactances are equal.

### Possible Correct Option:
- The correct option is: **Circuit contains inductor, capacitor, and resistor.**