AIIMS 2010 Physics Power in Electrical Circuits MCQ Question

In electrical systems, the power transmitted through a transmission line can be expressed by the formula: $P = \frac{V^2}{R}$ where $P$ is the power, $V$ is the voltage, and $R$ is the resistance of the transmission line. From this equation, we can see that the power $P$ is proportional to the square of the voltage $V$. Therefore, as the voltage increases, the power supplied increases with the square of the voltage.

Now, let's analyze the options:

• A) $\frac{1}{V}$: This suggests that power decreases as voltage increases, which is incorrect.
• B) $V$: This suggests a linear relationship between power and voltage, which is also incorrect.
• C) $V^2$: This is correct as per our derived formula, indicating that power is proportional to the square of the voltage.
• D) $\frac{1}{V^2}$: This suggests that power decreases with the square of the voltage, which is incorrect.

Thus, the correct answer is C) V², not B as stated in the question.