Field strength of tropospheric TV signal is proportional to

Options

A. `1/lambda `
B. `lambda`
C. `(1)/(lambda^2)`
D. `lambda^(2) `

Answer

To solve the question regarding the field strength of a tropospheric TV signal and its proportionality, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Field Strength**:
- Field strength refers to the intensity of the electric and magnetic fields associated with the signal. It is a measure of how strong the signal is at a given point in space.

2. **Identifying the Relationship**:
- The field strength (E) of a signal can be influenced by several factors, including the wavelength (λ) of the signal.

3. **Using the Formula**:
- The practical formula for field strength can be expressed as:
\[ E \propto \frac{P \cdot H_t \cdot H_r}{D^2 \cdot \lambda} \]
where:
- \(P\) = constant (power of the transmitter)
- \(H_t\) = height of the transmitter
- \(H_r\) = height of the receiver
- \(D\) = distance between the transmitter and receiver
- \(λ\) = wavelength of the signal

4. **Analyzing the Proportionality**:
- From the formula, we can see that the field strength \(E\) is inversely proportional to the wavelength \(λ\). This means that as the wavelength increases, the field strength decreases.

5. **Conclusion**:
- Therefore, the field strength of a tropospheric TV signal is proportional to \( \frac{1}{\lambda} \).

### Final Answer:
The field strength of a tropospheric TV signal is proportional to \( \frac{1}{\lambda} \).

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