The capacitance of a parallel plate condenser does not depend upon

Options

A. (a)the distance between the plates
B. (b)area of the plates
C. (c)medium between the plates
D. (d)metal of the plates

Answer

To solve the question regarding the capacitance of a parallel plate condenser and what it does not depend on, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Capacitance**:
The capacitance \( C \) of a parallel plate capacitor is given by the formula:
\[ C = \frac{k \cdot A \cdot \epsilon_0}{d} \]
where:
- \( C \) = Capacitance
- \( k \) = Dielectric constant of the material between the plates
- \( A \) = Area of one of the plates
- \( \epsilon_0 \) = Permittivity of free space
- \( d \) = Distance between the plates

2. **Identify the Variables**:
From the formula, we can see that capacitance depends on:
- \( A \) (the area of the plates)
- \( k \) (the dielectric constant)
- \( d \) (the distance between the plates)

3. **Analyze Each Option**:
- **Option A**: Capacitance depends on the distance \( d \) (inversely proportional).
- **Option B**: Capacitance depends on the area \( A \) (directly proportional).
- **Option C**: Capacitance depends on the dielectric constant \( k \) (depends on the medium).
- **Option D**: Capacitance does not depend on the type of metal used for the plates.

4. **Conclusion**:
Since capacitance does not depend on the type of metal used for the plates, the correct answer is:
\[ \text{Option D: The capacitance of a parallel plate condenser does not depend on the metal of the plates.} \]