Q114 / 150 · MHT CET 2023 (09 May Shift 2) · Physics

Five current carrying conductors meet at a point ' $\mathrm{O}$ ' as shown in figure. The magnitude and direction of the current in conductor ' $\mathrm{OP}$ ' is Figure

  • A
    $6.5 \mathrm{~A}$ from $\mathrm{O}$ to $\mathrm{P}$.
  • B
    $9 \mathrm{~A}$ from $\mathrm{P}$ to $\mathrm{O}$.
  • C
    $10.5 \mathrm{~A}$ from $\mathrm{P}$ to $\mathrm{O}$.
  • Correct answer
    D
    $11.5 \mathrm{~A}$ from $\mathrm{O}$ to $\mathrm{P}$.

Solution

Using Kirchhoff's current Law, Current flowing in = Current flowing out $\begin{aligned} & 10+2.5+5=6+\mathrm{x} \\ \therefore \quad \mathrm{x} & =17.5-6 \\ & =11.5 \mathrm{~A} \end{aligned}$ $\therefore \quad$ Magnitude and direction of the current in 'OP' should be $11.5 \mathrm{~A}$ from $\mathrm{O}$ to $\mathrm{P}$.

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

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