JEE Physics 2024 Question with Solution

Given: Three voltmeters have readings $V_1$, $V_2$ and $V_3$ between points $A$ and $B$.

Find: The correct relation among $V_1$, $V_2$ and $V_3$.

The solution uses Kirchhoff’s Voltage Law. The total potential difference across the complete path from $A$ to $B$ equals the sum of the potential differences across the parts.

So,

$$V_1 + V_2 - V_3 = 0$$

Hence,

$$V_1 + V_2 = V_3$$

Therefore, the correct option is D.

Given: Voltmeters $V_1$, $V_2$ and $V_3$ are connected between points in the shown arrangement.

Find: Which option correctly relates their readings.

A voltmeter measures the potential difference between two points. In this arrangement, $V_3$ measures the total potential difference across $A$ and $B$, while $V_1$ and $V_2$ measure the two parts whose sum gives the total drop.

Therefore,

$$V_3 = V_1 + V_2$$

So the required relation is

$$V_1 + V_2 = V_3$$

Thus, the correct answer is $V_1 + V_2 = V_3$, which is option D.