A parallel RLC circuit consists of the resistance, inductance, and capacitance in parallel. Like the series RLC circuit, here also when we apply a sinusoidal voltage, all the voltages and currents of the branches remain sinusoidal at the steady-state condition. The frequency of all the branch signals remains the same as the source frequency. But the amplitudes and the angles may differ in different branches.

Here in this article, we will examine the steady-state responses and behaviors of a parallel RLC circuit. For that, we draw a basic parallel RLC circuit.

Since we apply a sinusoidal voltage across the circuit, we can represent the expression of that voltage as

We shall also consider that the current drawn by the circuit is I.

Here we assume that the resistance R takes the current IR, the inductance takes the current IL, the capacitance takes the current IC.

Now by applying Kirchhoff’s Current Law, we get,

Where Y is the admittance of the circuit. Therefore the expression of Y is

The phase angle between the source voltage and the circuit current is

From the above expression, it is obvious that the sign and value of the angle depend on the relative value of the capacitive and inductive reactance of the parallel RLC circuit.

Here in the parallel RLC circuit another thing we have to observe. The current passing through the inductive branch legs the source voltage by exactly 90°. On the other hand, the current through the capacitor branch leads the source voltage by exactly 90°.

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- Lithium Ion Battery Working and Applications
- Series RLC Circuit Impedance with Phasor Diagram
- Parallel RLC Circuit Impedance with Phasor Diagram
- AC Fundamentals (Alternating Current)
- AC Circuits RLC Circuits
- Resistivity and Laws of Resistance and Unit of Resistivity
- Resistance Definition and Units of Electrical Resistance
- Conductance and Conductivity
- Resistances in Series
- Parallel Combination of Resistances or Parallel Resistances
- Resistor Color Coding 3, 4, 5 Band Resistor Color Coding
- Capacitance – What is Capacitance?
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- Capacitors in Series and Capacitors in Parallel
- Multiplate Capacitor and Variable Multiplate Capacitor
- Energy Stored in a Capacitor
- Permittivity (Absolute Permittivity and Relative Permittivity)
- Charging of a Capacitor and Time Constant
- Discharging a Capacitor and Related Expressions
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- Types of Electric Conductors Electrolytes and Nonelectrolytes
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- Electric Field Intensity or Electric Field Strength
- Gauss’s Theorem or Gauss’s Law
- Electrical Potential and Potential Difference or Voltage
- Breakdown Voltage and Dielectric Strength
- Electric Flux and Faraday’s Tubes
- Equations of Poisson and Laplace
- Coulomb’s Law Statement and Explanation
- Laws of Magnetic Force and Permeability
- Phase and Phase Difference of Currents and Voltages
- Representation of Alternating Current and Alternating Voltage
- RMS Value or Root Mean Square Value of Voltages and Currents
- Alternating Current and Alternating Voltage
- What is Sinusoidal Wave?