Calculator and formulas for calculating the voltage and power of an RLC parallel circuit
The calculator calculates the voltages, powers, currents, impedance and reactance in the parallel circuit of a resistor of a inductor and a capacitor.

The total resistance of the RLC series circuit in an AC circuit is as Impedance Z denotes. Ohm's law applies to the entire circuit.
Current and voltage are in phase at the ohmic resistance.
At the inductive reactance of the coil, the voltage leads the current by + 90 °.
At the capacitive reactance of the capacitor, the voltage lags the current by 90 °.
Therefore U_{L} and U_{C} are out of phase by 180 °.
The total current I is the sum of the geometrically added partial currents.
For this purpose, the current at the resistor forms the leg of a right triangle. The other cathede is the difference between the currents I_{L } and I_{C }, since these are out of phase. The hypotenuse corresponds to the total current I.
The resulting triangle is called the current triangle or vector diagram of the currents.
\(\displaystyle I=\sqrt{ {I_R}^2 + (I_CI_L)^2} \)
\(\displaystyle I_L\) Current through the inductor \(\displaystyle I_C\) Current through the capacitor \(\displaystyle I_R\) Current through the resistor \(\displaystyle I\) Total current
\(\displaystyle Y=\sqrt{G^2 + (B_LB_C)^2} \)
\(\displaystyle Y\) Admittance \(\displaystyle G\) Real conductance \(\displaystyle B_L\) Inductive susceptance \(\displaystyle B_C\) Capacitive susceptance
\(\displaystyle S=\sqrt{P^2 + (Q_LQ_C)^2} \)
\(\displaystyle P\) Real power \(\displaystyle S\) Apparent power \(\displaystyle Q_L\) Inductive reactive power \(\displaystyle Q_C\) Capacitive reactive power
Current
\(\displaystyle I=\frac{U}{Z} \) \(\displaystyle I_R=\frac{U}{R} \) \(\displaystyle I_L=\frac{U}{X_L} \) \(\displaystyle I_C=\frac{U}{X_C} \)
Resistor
\(\displaystyle X_L=2π · f · L \) \(\displaystyle X_C=\frac{1}{2π · f · C} \)
Power
\(\displaystyle P=I·U_R \) \(\displaystyle Q_L=I·U_L \) \(\displaystyle Q_C=I·U_C \)
Phase
\(\displaystyle φ = acos\left(\frac{Z}{R}\right) \)
