Potential difference between the points $\mathrm{P}$ and $\mathrm{Q}$ is nearly

Potential difference between the points $\mathrm{P}$ and $\mathrm{Q}$ is nearly
  1. $6 \mathrm{~V}$
  2. $8 \mathrm{~V}$
  3. $17 \mathrm{~V}$
  4. $21 \mathrm{~V}$

Solution

As, the resistors across each branch are in series. $\begin{aligned} & \mathrm{R}_1=6+3=9 \Omega \\ & \mathrm{R}_2=8+4=12 \Omega \end{aligned}$ According to $\mathrm{KCL}$, the current (i) will get divided inte two parts $\mathrm{I}_1$ and $\mathrm{I}_2$ $\mathrm{I}_1=\frac{\mathrm{R}_2}{\left(\mathrm{R}_1+\mathrm{R}_2^{\prime}\right) \mathrm{i}}=\frac{12}{9+12} \times 5=2.86 \mathrm{~A}$ Potential difference between $\mathrm{P}$ and $\mathrm{Q}$ is $\mathrm{V}=\mathrm{I}_1 \mathrm{R}=2,86 \times 6=17.14 \mathrm{~V}$ :

Asked in: MHT CET 2023 (11 May Shift 1)

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