IMPEDANCEBasic AC Reactive ComponentswhereZT = total impedance (W)VT = total voltage (V)IT= total current (A)Total current in a parallel R-C-L circuit is equal to the square root of the sum of the squares ofthe current flows through the resistance, inductive reactance, and capacitive reactance branchesof the circuit. Equations (8-15) and (8-16) are the mathematical representations of total currentin a parallel R-C-L circuit. Because the difference between IL and IC is squared, the order inwhich the quantities are subtracted does not affect the answer.IT = (8-15)I2R(ICIL)2IT = (8-16)I2R(ILIC)2whereIT= total current (A)IR= current through resistance leg of circuit (A)IC= current through capacitive reactance leg of circuit (A)IL= current through inductive reactance leg of circuit (A)Example: A 200 W resistor, a 100 W XL, and an 80 W XCare placed in parallel across a120V AC source (Figure 10). Find: (1) the branch currents, (2) the total current,and (3) the impedance.Figure 10 Simple Parallel R-C-L CircuitES-08 Page 16 Rev. 0
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