Total Impedance of RL Circuit in Parallel with Resistor

In summary, to find the total impedance of a circuit with two components in parallel, use the formula Z_T = Z_1 Z_2/(Z1 + Z_2). In this specific circuit, the two resistors in parallel can be combined first, and then added in series with the inductor to find the total impedance. Alternatively, the inductor and R1 can be combined in parallel first, and then added in series with R2. Both methods will result in the same total impedance.
  • #1
eng_stud
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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: [tex]Z_T = Z_1 Z_2/(Z1 + Z_2)[/tex]

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?
 
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  • #2
Yes, the latter.
 
  • #3
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.
 

Related to Total Impedance of RL Circuit in Parallel with Resistor

1. What is the total impedance of an RL circuit?

The total impedance of an RL circuit is the total opposition to current flow in the circuit. It is a combination of the resistance (R) and inductive reactance (XL) of the circuit, given by the formula Z = √(R² + XL²).

2. How is the total impedance of an RL circuit calculated?

The total impedance of an RL circuit is calculated using the formula Z = √(R² + XL²), where R is the resistance in ohms and XL is the inductive reactance in ohms.

3. What factors affect the total impedance of an RL circuit?

The total impedance of an RL circuit is affected by the resistance (R) and inductance (L) of the circuit, as well as the frequency (f) of the AC power supply. It also depends on the type of circuit, whether it is a series or parallel RL circuit.

4. How does the total impedance of an RL circuit affect the current flow?

The total impedance of an RL circuit affects the current flow by limiting the amount of current that can pass through the circuit. A higher impedance means a lower current flow, and vice versa. This is because the higher the impedance, the more opposition there is to the flow of current.

5. Can the total impedance of an RL circuit ever be zero?

No, the total impedance of an RL circuit can never be zero. This is because even if the resistance (R) is zero, there will still be inductive reactance (XL) present, which will contribute to the total impedance. In order to have zero impedance, both the resistance and inductive reactance would have to be zero, which is not possible in a practical circuit.

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