RL Parallel CircuitPublished on 24/2/2012 & updated on Thursday 19th of July 2018 at 02:13:50 PM
IR = the current flowing in the resistor branch in amperes. IL = the current flowing in the inductor branch in amperes. θ = angle between IR and IT. So the total current IT,
In complex form the currents are written as,
Impedance of Parallel RL CircuitLet, Z = total impedance of the circuit in ohms. R = resistance of circuit in ohms. L = inductor of circuit in Henry. XL = inductive reactance in ohms.
Since resistance and inductor are connected in parallel, the total impedance of the circuit is given by, In order to remove "j" from the denominator multiply and divide numerator and denominator by (R - j XL),
Analysis of a Parallel RL CircuitIn parallel RL circuit, the values of resistance, inductance, frequency and supply voltage are known for finding the other parameters of RL parallel circuit follow these steps: Step 1. Since the value of frequency is already known, we can easily find the value of inductive reactance XL, Step 2. We know that in parallel circuit, the voltage across inductor and resistor remains the same so, Step 3. Use Ohm’s law to find the current flowing through inductor and resistor, Step 4. Now calculate the total current, Step 5. Determine the phase angles for resistor and inductor and for parallel circuit, its always Step 6. Since we have already calculated the total current flowing in the circuit and voltage V is also known to us, by using Ohm’s law; we can easily calculate the total impedance: Step 7. Now calculate the total phase angle for the circuit which is given by, The total phase angle of a parallel RL circuit always lies between 0o to -90o. It is 0o for pure resistive circuit and -90o for pure inductive circuit.
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