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RLC Parallel Circuit - Current Source Excitation - Branch Current Characteristics

Sinusoidal current source \(I_s = 0.1\ \text{A}\) (peak) excites parallel RLC | Observe how resistor, inductor, and capacitor branch current magnitudes change with frequency

Circuit Parameter Adjustment

10 Ω
1 Ω50 Ω
10 mH
0.5 mH100 mH
10 μF
1 μF200 μF
100 Hz
10 Hz20 kHz

Marker point displays branch current values at the corresponding frequency

Parallel Resonance Characteristic Parameters

Resonant Frequency \(f_0\) — Hz
Quality Factor \(Q\) (Parallel) —
Bandwidth \(BW\) — Hz

* At parallel resonance \(I_L = I_C\), total current \(I_s\) flows entirely through resistor \(R\), \(I_R\) is maximum
* Click the button to move the purple marker line to the resonant frequency point

Branch Current Magnitudes at Current Frequency \(f\)

\(I_R\)
0.000 A
\(I_L\)
0.000 A
\(I_C\)
0.000 A

Current source peak \(I_s = 0.1\ \text{A}\), each branch current is actual peak value

\(I_R\) (Resistor Current)
\(I_L\) (Inductor Current)
\(I_C\) (Capacitor Current)
X-axis: Frequency (logarithmic scale, Hz)
Branch Current Magnitude Response | Current source excitation, at resonance \(I_R\) reaches peak, \(I_L = I_C\) and may be much larger than \(I_R\)

Theoretical Basis (Current Source Parallel)

Current source \(I_s = 0.1\angle0^\circ\) applied to parallel RLC:
Parallel admittance \(Y = \dfrac{1}{R} + \dfrac{1}{j\omega L} + j\omega C\), terminal voltage \(V = I_s / Y\).
Branch currents: \(I_R = V/R,\ I_L = V/(j\omega L),\ I_C = V \cdot j\omega C\).
At resonance \(\omega_0 L = 1/(\omega_0 C)\), admittance is minimum (equal to \(1/R\)), voltage is maximum, \(I_R = I_s\), \(I_L = I_C = Q I_s\).

Parallel Resonance Characteristics (Current Source)

• Resonant frequency \(f_0 = \dfrac{1}{2\pi\sqrt{LC}}\), same as the series form.
• Parallel quality factor \(Q = R\sqrt{\dfrac{C}{L}} = \dfrac{R}{\omega_0 L} = \omega_0 R C\).
• At resonance, resistor current equals source current \(I_s\), inductor/capacitor current is \(Q\) times the source current.
• Click "Mark Resonant Frequency" to position the purple marker line at \(f_0\), intuitively comparing branch current relationships at the resonant point.