Impedance Z and Admittance Y Calculator
by Apolinario "Sam" Ortega, founder IN-V-BAT-AI

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Impedance Z and Admittance Y Calculator

You are expected to learn how to :
Compute the current I expected flowing in any RLC circuit.

Then compute the current I₁ and I₂
Then compute the expected total power consumption and then compute the power consumption of impedance load 1 Z₁ and the power consumption of impedance load 2 Z₂

I1 =

I2 =

Y_T = 1 / Z_T Explain why 1 / 4.472 Z_T is not equal to Z=11.18 as shown by graphical complex number addition? Answer: The two impedances are not in series, so the complex number addition will not work because in parallel you compute the total impedance using the formula 1/Z₁ + 1/Z₂. To make the calculation easy admittance concept was introduced.

FORMULA RECALL : Y is the Admittance and Z is the Impedance.

Important to remember inductive load is represented by + J (positive reactance) and capacitive load - J (negative reactance) . This knowledge is very important because of the complex number conjugate when you are doing complex number division. This calculator embedded that reactance rule + j L (use positive for inductive load) and - J C (use negative for capacitive load) that affects the complex number conjugate. So be careful not to put negative sign in capacitive input box shown below. It's already accounted for.

Y ₁ = 1 / Z₁ = + J

Converting complex number to polar format

Y ₁ = °

Show me the calculation to get
0.1600 - j 0.1200

Explanation below.

Memory recall knowledge of complex number division using conjugate.

Now the calculation is automated.

Y ₂ = 1 / Z₂ = + J
Y ₂ = °

Y_T = Y ₁ + Y ₂ Total Admittance ,
Y_T = 1 / Z_T

Addition of complex number

Y ₁ + Y ₂ = + J

Converting complex number to polar format

Y ₁ + Y ₂ = °

I = I ₁ + I ₂ = E * Y = Total Current
* °

Total Current, I

I = °

I ₁ = E * Y ₁
*

Load 1 Current, I₁

I ₁ =

I ₂ = E * Y ₂
*

Load 2 Current, I₂

I ₂ =

I ₁ = + J

I ₂ = + J

Total current, adding complex number

I = + J

Total current converted to polar format

I =

Compute the total power consumption of the loads.

P = E * I * Cos (-10.3049) = * * = Watts

Compute the load 1 power consumption.

P ₁ = E * I₁ * Cos (-36.87) = * * = Watts

Compute the load 2 power consumption.

P ₂ = E * I₂ * Cos (53.1303) = * * = Watts

INITIAL DATA

R4 = 4 Ω X_L = 3
R6 = 6 Ω X_C = 8
V = 100

No need to add the negative sign for capacitive reactance because it is already embedded in the logical computation.

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