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At junction P, currents \[0.2\,\mathrm{A}\], \[0.6\,\mathrm{A}\], and \[0.7\,\mathrm{A}\] point towards P, while \[0.4\,\mathrm{A}\], \[0.5\,\mathrm{A}\], and \[I\] point away. What is the unknown current?

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Question

At junction P, currents \[0.2\,\mathrm{A}\], \[0.6\,\mathrm{A}\], and \[0.7\,\mathrm{A}\] point towards P, while \[0.4\,\mathrm{A}\], \[0.5\,\mathrm{A}\], and \[I\] point away. What is the unknown current?

Options

  • \[0.6\,\mathrm{A}\]

  • \[1.5\,\mathrm{A}\]

  • \[0.2\,\mathrm{A}\]

  • \[0.9\,\mathrm{A}\]

MCQ
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Solution

Taking currents towards P as positive gives \[0.2-0.4+0.6-0.5+0.7-I=0\]. This simplifies to \[0.6-I=0\], so \[I=0.6\,\mathrm{A}\].

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