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This document presents a detailed analysis of the Kirchhoff's Voltage Law (KVL) applied to electrical circuits with complex currents. Specifically, it examines two loops in the context of a circuit containing various impedances, where multiple currents (I1 and I2) interact through real and imaginary components. The equations for loop 1 and loop 2 illustrate the relationship between the voltages and currents in a complex circuit, providing insights essential for understanding circuit behavior in both AC and DC applications.
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j2 W I1 I2 Figure 13.11 4 W -j3 W j8 W j6 W 5 W 100 /0o KVL: loop 1: 0 = -100 + (4 –j3+j6)I1- (j6)I2 - (j2)I2 KVL: loop 2: 0 = - (j6)I1 + (j8+5+j6)I2 - (j2)I1 + (j2)I2 + (j2)I2