For high frequency, a capacitor offers

Options

A. More resistance
B. Less resistance
C. Zero resistance
D. None of these

Answer

To solve the question "For high frequency, a capacitor offers," we will analyze the behavior of a capacitor in an AC circuit, particularly focusing on its capacitive reactance (Xc).

### Step-by-Step Solution:

1. **Understanding Capacitive Reactance (Xc)**:
- Capacitive reactance (Xc) is the opposition that a capacitor offers to alternating current (AC). It is given by the formula:
\[ X_c = \frac{1}{\omega C} \]
where \( \omega \) is the angular frequency and \( C \) is the capacitance.

2. **Relating Angular Frequency to Frequency**:
- The angular frequency \( \omega \) can be expressed in terms of the frequency \( f \) as:
\[ \omega = 2\pi f \]
- Substituting this into the formula for capacitive reactance gives:
\[ X_c = \frac{1}{2\pi f C} \]

3. **Analyzing the Relationship**:
- From the equation \( X_c = \frac{1}{2\pi f C} \), we can see that capacitive reactance (Xc) is inversely proportional to the frequency (f).
- This means that as the frequency increases, the value of \( X_c \) decreases.

4. **Conclusion**:
- For high frequencies, since \( X_c \) decreases, the capacitor offers less opposition to the current. Therefore, we can conclude that:
- For high frequency, a capacitor offers low reactance.

### Final Answer:
For high frequency, a capacitor offers low reactance.

---