The figure shows currents in a part of electric circuit. Then current $I$ is

The figure shows currents in a part of electric circuit. Then current $I$ is
  1. 3.5 A
  2. 4 A
  3. 1.5 A
  4. 2.5 A

Solution

According to Kirchhoff's first law, At junction $\mathrm{A}, \mathrm{I}_{\mathrm{A}}=1+4=5 \mathrm{~A}$ At junction $\mathrm{B}, \mathrm{I}_{\mathrm{A}}=\mathrm{I}_{\mathrm{BC}}+0.5 \Rightarrow \mathrm{I}_{\mathrm{BC}}=4.5 \mathrm{~A}$
At junction $\mathrm{C}, \mathrm{I}=\mathrm{I}_{\mathrm{BC}}-1=4.5-1=3.5 \mathrm{~A}$

Asked in: MHT CET 2024 (15 May Shift 2)

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