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In the given figure, find the value of current I

Three junctions in a row: currents of 2 A and 2 A enter the first, one branch joins it to the second, from which 1 A leaves, one branch then runs to the third, from which 1.3 A leaves and the unknown current I leaves downwards

  • A.1.7 A
  • B.3.7 A
  • C.1.3 A
  • D.2.7 A

Answer: A

The current I is 1.7 A.

Apply Kirchhoff's current law at each junction in turn: the current flowing in equals the current flowing out.

\[ \begin{aligned} \text{first junction: } & 2 + 2 = 4\ \text{A out} \\ \text{second: } & 4 - 1 = 3\ \text{A on} \\ \text{third: } & I = 3 - 1.3 = 1.7\ \text{A} \end{aligned} \]

3.7 A adds the 1 A instead of subtracting it, 1.3 A is the other outgoing branch, and 2.7 A ignores the 1.3 A leaving the last junction.

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