Physics

Physics

Problem

Two junctions, P and Q, are linked by a conductor carrying current I1I_1 (assumed from P to Q). • At junction P, currents of 4 A and 1 A enter, while 2 A and I1I_1 leave. • At junction Q, current I1I_1 enters together with 2 A from a source; currents of I2I_2 and 3 A leave. Determine the numerical values of I1I_1 and I2I_2.
Intuitive explanation

This problem is about Kirchhoff's Current Law (KCL), which states that the total current entering a junction must equal the total current leaving it. The key insight is to apply KCL independently at each junction—write down the current balance equation for P, solve for I1I_1, then use that value at junction Q to find I2I_2. Think of each junction as a "current checkpoint" where nothing can accumulate.

Intuitive explanation

This problem is about Kirchhoff's Current Law (KCL), which states that the total current entering a junction must equal the total current leaving it. The key insight is to apply KCL independently at each junction—write down the current balance equation for P, solve for I1I_1, then use that value at junction Q to find I2I_2. Think of each junction as a "current checkpoint" where nothing can accumulate.

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