Series-Parallel RLC circuits and Applications

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Impedance can be resistance, reactance, or combination of both A. True B. False

True

above resonant frequency, ____ dominates

XC

Below resonant frequency, ____ dominates

XL

parallel resonance is when

XL = XC

At a low frequency ____ is high, ____ is low

Xc, Xl

at a high frequency ____ is high, ____ is low

Xl, Xc

1/Z = 1/R + 1/XL+ 1/XC can be written as

Z = 1 /(1/R + 1/XL + 1/XC)

A tuned amplifier is a circuit that

amplifies signals within a specified band

The range of frequencies for which current is equal to or greater than 70.7% of its resonant value is known as

bandwidth

when XL < XC, the circuit is predominately

capactive

Resonant circuits are used in a variety of applications, most commonly in

communication

phase angle ____ as the frequency approaches resonant value

decrease

When the same voltage is applied to both circuits, same total currents in both circuits, and phase angle same, it means they are

equivalent

the center frequency (fr) can be found by

f2 + f1 / 2

Bandwidth in formula is

f2 - f1

Audio crossover networks are ____ networks separating audio signals into different frequency bands for the speaker

filter

the formula for bandwidth with Q is

fr / Q

Stored energy is transferred back and forth in a LC circuit on alternate

half-cycles

The upper (f2) and lower (f1) frequencies are sometimes called

half-power frequencies

In ac circuits, the total opposition to current is referred as

impedance

A RLC circuit contains resistance, ____, and capacitance

inductance

when XL > XC, the circuit is predominately

inductive

in an ideal tank circuit the impedance is

infinite

inductive reactance (XL) causes current to ___ the applied voltage

lag

In parallel at high frequencies, XL becomes ____ than XC

larger

capacitive reactance (XC) causes current to ___ the voltage

lead

In parallel RLC circuit at low frequencies, the inductive reactance is ____ than capactive reactance

less

The total current will always be ____ than the individual currents with C and L

less

The voltage across combined L and C is always ____ than the individual voltages across either

less

At series RLC resonant frequency, the current is

maximum

The impedance is ____ at resonant frequency

maximum

The ____ the bandwidth, the greater the selectivity

narrower

Inductive reactance and capacitive reactance have ___ effects on circuit phase angle

opposite

Current is ____ in a parallel RLC circuit between the capactive branch and inductive branch by 180 degrees

out of phase

The resonant circuit is in _____ when used with an amplifier in a tuned amplifier

parallel

if Xl = Xc the two reactances cancel and circuit is purely

resistive

Impedance magnitude is minimum at

resonance

Xl = Xc the circuit is resistive and in

resonance

The frequency at which resonance occurs is called

resonant frequency

How well a resonant circuit responds to a certain frequency and discriminates others is also known as

selectivity

____ of the slope is also a factor that influences selectivity

steepness

A tank circuit can

store energy in magnetic field of the coil and electric field of the capacitor

A parallel resonant LC circuit is usually called

tank circuit

What is used to allow tuning over the range of input frequencies so that a desired frequency is selected

variable capacitor

At series resonant frequency, the voltages across both L and C is

zero

when XL and XC are equal, the resistance is

zero

magnitude of the total reactance in a series RLC circuit is

| XL - XC |

total current can be expressed as a formula as

√(I² + (Ic - IL)² )

total impedance (Z) for series RLC circuit in polar form is

√R² + (XL - XC)² < tan⁻¹(Xtot / R)

The tank circuit is loaded to reduce its

Q

a higher value of ____ results in narrower bandwidth and a lower value of ____ results in wider bandwidth

Q

total impedance (Z) for series RLC circuit in rectangular form is

R + jXL - jXC

Quality factor (Q) is, where ____ equals winding resistance and ____ equals inductive reactance

Rw, XL

Power at f1 or f2 is

0.5P(max)

bandwidth range of series resonant circuit

0.707 * I(max)

bandwidth range of parallel resonant circuit

0.707 * Z(max)

Phase angle at resonance in parallel is

resonant frequency for parallel is

1/ (2π√LC)

the formula for finding resonant frequency

1/(2π√LC)

Conductance (G) is equal to

1/R

Capacitive susceptance (Bc) is equal to

1/XC

Inductive susceptance (Bl) is equal to

1/XL

Admittance (Y) is equal to

1/Z

in a parallel RLC circuit, the total impedance is the reciprocal

1/Z = 1/R + 1/XL+ 1/XC

the parallel resonant frequency of the circuit is about the same as series resonant frequency as long as Q ≥

10

series RLC circuit, the capacitor voltage and inductor voltage are always ____ out of phase

180°

As the frequency goes higher after reaching resonance then the phase angle approaches

90°

at Resonance max Power is

I²R


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