The impedance of the series RLC circuit which have the voltage amplitude and frequency of the source as 100 v and 500 hz, respectively, and l = 0.20 h is 686 ohms.
What is impedance?
The opposition to alternating current presented by the combined effect of resistance and reactance in a circuit is called impedance.
Given,
Voltage (V₀) = 100 v
Frequency (f) = 500 Hz
Inductance (L) = 0.20 h
Angular frequency,
ω = 2πf = 2π(500) = 1000π rad.
Since there is no capacitor and resistance present in the circuit, the impedance will solely depends on the inductance.
Inductive reactance,
[tex]X_L = (w)(L) = (1000)(3.4)(0.20) = 628 ohms[/tex]
By equation,
[tex]Z = \sqrt{R^2 + (X_L - X_C)^{2} }[/tex]
[tex]Z = \sqrt{0 + (628 + 0) ^{2} }[/tex]
Z = 628 ohms.
Hence, the impedance of the circuit is 628 ohm.
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