Q145 / 160 · TS EAMCET 2023 (14 May Shift 1) · Physics

The Wheatstone bridge shown in the diagram is balanced. If $\mathrm{P}_3$ is the power dissipated by $\mathrm{R}_3$ and $\mathrm{P}_1$ is the power dissipated by $R_1$, then the ratio $\frac{\mathrm{P}_3}{\mathrm{P}_1}$ is Figure

  • Correct answer
    A
    $\frac{\mathrm{K}}{\mathrm{L}}$
  • B
    $\frac{\mathrm{K}^2}{\mathrm{~L}}$
  • C
    $\frac{\mathrm{L}}{\mathrm{K}^2}$
  • D
    $\frac{\mathrm{L}}{\mathrm{K}}$

Solution

From wheat stone bridge, we have $\begin{aligned} & \frac{R_1}{R_3}=\frac{L}{K} \\ & P=I^2 R \\ & \frac{P_3}{P_1}=\frac{I^2 R_3}{I^2 R_1}=\frac{K}{L}\end{aligned}$

Hence, the correct answer is option: 'A'.

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