Total Impedance of RL Circuit in Parallel with Resistor

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SUMMARY

The total impedance of a circuit with a resistor (R1) and an inductor (L) in parallel with another resistor (R2) can be calculated using the formula for two components in parallel: Z_T = Z_1 Z_2 / (Z_1 + Z_2). The correct approach is to first combine R1 and the inductor (Z_L) in parallel, and then add the result in parallel with R2. This method ensures accurate impedance calculation in RL circuits.

PREREQUISITES
  • Understanding of complex impedance in AC circuits
  • Familiarity with parallel and series circuit configurations
  • Knowledge of basic circuit components: resistors and inductors
  • Ability to manipulate complex numbers for impedance calculations
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  • Learn how to calculate total impedance for circuits with multiple components
  • Explore the effects of frequency on inductor behavior in circuits
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Electrical engineering students, hobbyists working with AC circuits, and professionals designing RL circuits will benefit from this discussion.

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Homework Statement


find total impedance of a circuit with R1 and L in parallel with R2.

circuit looks like this (but with R2 instead of C): http://wpcontent.answcdn.com/wikipe...rallel.svg/160px-RL_series_C_parallel.svg.png

Homework Equations


formula for two components in parallel: Z_T = Z_1 Z_2/(Z1 + Z_2)

The Attempt at a Solution


question is, can I first combine the two resistors in parallel, then add the inductor in series? Or must I do the inductor and R1 together, in parallel with R2? So, eith er R1||R2 + Z_L or (R1+Z_L)||R2 ?

I'm assuming the last one?
 
Physics news on Phys.org
Yes, the latter.
 
The two series impedances are both, as a combined single impedance, in parallel with the last impedance. That is why vela and yourself are both correct.
 

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