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The figure shows a parallel RLC circuit. The instantaneous voltages ( and RMS voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C and L or lag the current in the resistor as shown in the current phasor diagram.

Show that the RMS current delivered by the source is 

 

 

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Sagar Yadav
Sagar YadavLv10
15 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

An RLC series circuit is connected to a 240-Vrms power supply at a frequency of 2.50 kHz. The elements in the circuit have the following values: R = 46.0 Ω, C= 0.12µF, and L  = 40.0 mH.

(a) What is the impedance of the circuit?

(b) What is the RMS current?

(c) What is the phase angle?


(d) Does the current lead or lag the voltage?
lags, leads, neither lags nor leads

(e) What are the RMS voltages across each circuit element?
VR = V
VC = V
VL = V

The following statements are related to an RLC circuit connected across an AC power source. Choose the words that make each statement true.

(i) The voltage across the [(a) capacitor; (b) inductor] leads the current by 90°.

(ii) The voltage across the [(c) capacitor; (d) resistor] is in phase with the current.

(iii) At resonance, the phase angle between the current and the voltage [(e) is 0; (f) depends on frequency f].

(iv) The maximum and rms voltages from the power source are related by [(g) ; (h) ].

A resistor, a capacitor, and an inductor are connected in seriesacross an AC source. Which of the following statements is false?(Select all that apply.)

a.The instantaneous voltage across the capacitor lags the currentby 90°.
b.The instantaneous voltage across the inductor leads the currentby 90°.
c.The instantaneous voltage across the resistor is in phase withthe current.
d.The voltages across the resistor, capacitor, and inductor are notin phase.
e.The rms voltage across the combination of the three elementsequals the algebraic f.sum of the rms voltages across each elementseparately.

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