Transmission lines transmit a voltage of volt to our houses from power stalions, then the power P supplied by them is proporiional to

Options

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

Answer

To solve the problem, we need to determine how the power \( P \) supplied by the transmission lines is proportional to the voltage \( V \) transmitted to our houses.

### Step-by-Step Solution:

1. **Understanding Power in Electrical Circuits**:
The power \( P \) supplied in an electrical circuit can be expressed using the formula:
\[ P = V \times I \]
where \( V \) is the voltage and \( I \) is the current flowing through the circuit.

2. **Assuming Constant Current**:
In the context of the problem, we assume that the current \( I \) flowing through the transmission lines remains constant. This means that any change in voltage \( V \) will directly affect the power \( P \).

3. **Expressing Power in Terms of Voltage**:
Since \( I \) is constant, we can express the relationship between power and voltage as:
\[ P \propto V \]
This indicates that power is directly proportional to the voltage when the current is held constant.

4. **Conclusion**:
Therefore, we conclude that the power \( P \) supplied by the transmission lines is proportional to the voltage \( V \) transmitted to our houses.

### Final Answer:
The power \( P \) supplied by the transmission lines is proportional to the voltage \( V \).

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