Resistor and inductor in parallel

Calculator and formulas for calculating resistor and inductor in parallel

Calculate resistor and inductor in parallel


The computer calculates the voltages, power, current, impedance and reactance for a resistor and inductor in parallel.


RL in parallel calculator

 Input
Coil
Resistor
Frequency
Voltage
Decimal places
 Results
Resistance XL
Impedance Z
Current in resistor IR
Current in the coilIL
Current I
Real power P
Reactive power Q
Apparent power S
Phase angle φ

I Total current
IR Current through the resistor
IL Current through the coil
Y Admittance [1/Z]
XL Inductive reactance
R Effective resistance
Z Impedance
G Conductance [1/R]
BL Susceptance [1/XL]
P Real power
S Apparent power
QL Inductive reactive power
φ Phase shift in °

Formulas and description for RL in parallel


The total resistance of the RL parallel circuit in AC is called impedance Z. Ohm's law applies to the entire circuit.

Current and voltage are in phase at the ohmic resistance. The inductive reactance of the capacitor lags the current the voltage by −90 °.

The total current I is the sum of the geometrically added partial currents. For this purpose, both partial flows form the legs of a right triangle. Its hypotenuse corresponds to the total current I. The resulting triangle is called the current triangle or vector diagram of the currents.

Current triangle

Conductance triangle

When connected in parallel, the partial currents behave like the conductance values of resistances.

Resistance triangle

Power triangle

Power factor


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