How do you convert parallel resistance to series?
Below are the basic equations for creating a series representation of a given parallel RL circuit.
- Performing the conversion…
- Step 1: Calculate the equivalent resistance value Rs.
- Step 2: Calculate the equivalent inductive reactance Xs.
What is the formula of series and parallel?
When resistors are connected one after each other this is called connecting in series. This is shown below. To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: Rtotal = R1 + R2 +R3 and so on.
How to find the impedance of a parallel circuit?
The equivalent impedance of a parallel AC circuit can be determined in two ways: by the total-current method (from Equation 4), Find the equivalent impedance for Z1 =60∠ +60oΩ and Z2 = 80∠−45oΩ Z 1 = 60 ∠ + 60 o Ω and Z 2 = 80 ∠ − 45 o Ω connected in series.
When to convert parallel circuits to series equivalents?
This conversion approach or technique can be especially helpful when working with circuits having multiple resistors and inductors in mixed series/parallel configurations.
How to find the total impedance of a series?
The total impedance of impedances in series is their phasor sum. This relationship can be extended to any number of impedances in series: Example 1 Find the total impedance when Z1 =60∠ +60oΩ and Z2 = 80∠ −45oΩ Z 1 = 60 ∠ + 60 o Ω and Z 2 = 80 ∠ − 45 o Ω are connected in series.
What is the impedance of a 10 kHz parallel network?
That means that at 10 kHz, this parallel network has the same impedance as a 14.68 Ω resistor in series with a 98.3 nF capacitor. At any other frequency this will no longer be true, as will be illustrated momentarily. At 1 kHz, the frequency is reduced by a factor of ten. Therefore, X L will be ten times lower, or approximately j 4.273 Ω.