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23 Nov 2019

Resistance Inductance Capacitance (RLC) circuits are often studied with AC systems. Consider two cases of RLC circuits in series, with AC voltage sources. Include ranges of current from 1 mA to 100 A, ranges of voltage from 1 mV to 100 V, ranges of resistance between 1 mOhms and 100 Ohms. Include inductances between 1 mH to 100 H, and capacitances between 1 microfarads and 10 farads. Calculate the net impedance of each system. Calculate the voltage drops and currents along each resistor, capacitor and inductor for each of the two circuits. Calculate their total averaged values, for the current and voltage. Calculate the power for each of these elements in the circuit, and its total average value. Compare the actual current verses the theoretical for each of the circuits.

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Related textbook solutions

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

Related questions

In Alternating Current (AC) circuits, oscillations, amplitudes, wavelengths and frequencies are important for current, voltage, resistance, capacitance, power and inductance. Show the relationships between maximal currents, voltages, resistances, and powers, with respect to their individual Root Mean Square (RMS) respectively. Include ranges of current from 1 mA to 100 A, ranges of voltage from 1 mV to 100 V, ranges of resistance between 1 mOhms and 100 Ohms. Show the relevance of an average power. Discuss utilizations of inductors and capacitors in these AC circuits. Show how these relate to a variation of Ohm

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find the amplitude of the current i0 through the voltage source.

To understand the use of phasors in analyzing a parallel AC circuit.Phasor diagrams, or simply phasors, provide a convenient graphical way of representing the quantities that change with time along with  .This makes them useful for analyzing AC circuits with their inherent phase shifts between voltage and current. If a quantity I(t) changes with time as   , a phasor is a vector whose length represents the amplitude Io(see the diagram). This vector is assumed to rotate counterclockwise with angular speed  ; that way, the horizontal component of the vector represents the actual value I(t) at any given moment.In this problem, you will use the phasor approach to analyze an AC circuit.

In answering the questions of this problem, keep the following in mind.

For a resistor, the current and the voltage are always in phase.

For an inductor, the current lags the voltage by .

For a capacitor, the current leads the voltage by .

MasteringPhysics: Problem Print View

Part A
Phasors are helpful in determining the values of current and voltage in complex AC circuits.
Consider this phasor diagram:
The diagram describes a circuit that contains two elements connected in parallel to an AC source. The vector labeled corresponds to the voltage across both elements of the circuit. Based on the diagram, what elements can the circuit contain?
1) two resistors
2) two inductors
3) two capacitors
4) a capacitor and a resistor
5) an inductor and a resistor
6) a capacitor and an inductor
 
Part B
Find the amplitude   of the current through the voltage source.
Express your answer in terms of the magnitudes of the individual currents  
 

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