EE6202 Electric Circuits Theory 2
A capacitor is an
open circuit to dc. |
True |
Compute the charge
stored on a 33-µF capacitor with 20V across it. |
660µC |
The unit of
inductance is named in honor of |
Joseph Henry |
The voltage on a
capacitor cannot change instantaneously. |
True |
The unit for capacitance
is named after physicist |
Michael Faraday |
Find the equivalent
inductance of the circuit below. |
18H |
If a 6-µf capacitor
is connected to a voltage source with v(t) =20 sin 3000t V, determine the
current through the capacitor. |
3.6cos3000t A(wrong) |
The current through
an inductor cannot change abruptly. |
True |
A ____________
consists of two conducting plates separated by an insulator (or dielectric) |
Capacitor |
Find the equivalent
capacitance of the circuit below. |
3.9µF(wrong) |
Which equation
shows the natural response of the voltage of an RL circuit? |
I0Re−(RL)tI0Re−(RL)t |
The formula for
time constant is |
τ=LRτ=LR |
In the circuit
below, the voltage and current expressions are v=160e−10tVv=160e−10tV, t≥0+t≥0+, i=6.4e−10tAi=6.4e−10tA, t≥0t≥0.
Find R. |
25Ω25Ω |
The currents and
voltages that arise when the inductor or capacitor is disconnected abruptly
from its dc source are referred to as the ___________ of the circuit. |
Natural response |
The currents and
voltages that arise when energy is being acquired by an inductor or capacitor
due to the sudden application of a dc voltage or current source. This
response is referred to as the ____________. |
Step response |
Which equation
shows the natural response of the voltage of an RC circuit? |
V_0e^{-\tfrac {t}{\tau}V_0e^{-\tfrac {t}{\tau} |
Which equation
shows the natural response of the current of an RL circuit? |
\(I_0Re^-{\left(\tfrac
{R}{L}\right)t}\)(wrong) |
The switch in the
circuit below has been open for a long time. At t = 0 the switch is closed.
Determine \(i_0(t)\). |
\(1e^{-250t}A, t ≥ 0\)(wrong) |
Which equation
shows the natural response of the voltage of an RC circuit? |
\(\frac {V(0)}{R}
e^{-\frac {t}{\tau}\) |
\(V_0e^{\tfrac
{t}{\tau}\) |
|
\(\frac {V(0)}{R}
e^{\frac {t}{\tau}\) |
|
The switch in the
circuit below has been open for a long time. At t = 0 the switch is closed.
Determine \(i_0(0)\). |
0.5 A |
The
solution is used when the current response is determined to be |
Underdamped |
When the
response of a second-order circuit is |
Critically damped |
The equation for
neper frequency of the series RLC circuit is the same as the equation of the
parallel RLC circuit |
False |
The equations for
resonant and damped radian frequencies for the series and the parallel RLC
circuit are the same. |
True |
When the
response of a second-order circuit is |
Underdamped |
The
solution is used when the current response is determined to
be |
|
Underdamped(incorrect) |
|
The
solution is used when the current response is determined to be |
Underdamped(incorrect) |
The equation s2 RLs+1LC=0RLs+1LC=0 is
the characteristic equation for the |
Series RLC circuit |
When the
response of a second-order circuit is |
Overdamped |
In the circuit
below Will the response be overdamped, underdamped, or critically
damped? |
Overdamped |
The nature of the
roots s1 and s2 depends on the values of aa and ωω0 |
True |
In the
formula we denote aa as the |
Neper frequency |
The s2 + sRc+1Lc=0sRc+1Lc=0 is
called the _____________ of the differential equation. |
Characteristic equation |
In the formula |
Alpha frequency(incorrect) |
In the
formula we denote ωω0 as the |
Resonant radian
frequency |
The neper frequency
reflects the effects of the dissipative element |
True |
The
solution is used when the current response is determined to be |
Underdamped |
When the
response of a second-order circuit is |
Critically damped |
The equation for
neper frequency of the series RLC circuit is the same as the equation of the
parallel RLC circuit |
False |
The equations for
resonant and damped radian frequencies for the series and the parallel RLC
circuit are the same. |
True |
When the
response of a second-order circuit is |
Underdamped |
The solution is
used when the current response is determined to be |
Underdamped(incorrect) |
The
solution is used when the current response is determined to be |
Underdamped(incorrect) |
The equation s2 RLs+1LC=0RLs+1LC=0 is
the characteristic equation for the |
Series RLC circuit |
When the
response of a second-order circuit is |
Overdamped |
The nature of the
roots s1 and s2 depends on the values of aa and ωω0 |
True |
The voltage on a
capacitor can change instantaneously. |
False |
The current through
an inductor can change abruptly. |
False |
In the
formula we denote aa as the |
Neper frequency |
For the circuit in
the figure below, no energy is stored in the 100mH inductor or the 0.4 μFμF capacitor
when the switch is closed. The voltage response is |
Underdamped |
In the
equation v=Vmcos(ωt+ϕ),ϕv=Vmcos(ωt+ϕ),ϕ is called the _____________. |
Phase angle |
A sinusoidal
current has a maximum amplitude of 20 A. the current pases through one
complete cycle in 1 ms. The magnitude of the current at zero time is 10
A. What is the frequency of the current in hertz? |
1000 Hz |
This is the square
root of the mean value of the squared function. |
RMS value |
When the
response of a second-order circuit is |
Overdamped(wrong) |
This is the number
of cycles per second of the sine function. |
Frequency |
In the formula |
Characteristic roots |
When the
response of a second-order circuit is |
Underdamped(wrong) |
In the
formula we denote ωω0 as the |
Resonant radian
frequency |
The neper frequency
reflects the effects of the dissipative element |
True |
The currents and
voltages that arise when energy is being acquired by an inductor or capacitor
due to the sudden application of a dc voltage or current source. This
response is referred to as the ____________. |
Step response |
A sinusoidal
voltage source produces a voltage that varies sinusoidally with time. |
True |
A sinusoidal
voltage is given by the expression v=300cos(120πt+30∘)v=300cos(120πt+30∘) . What is
the period of the voltage in milliseconds? |
16.67 ms |
When the
response of a second-order circuit is |
Critically damped |
For the circuit in
the figure below, no energy is stored in the 100mH inductor or the capacitor
when the switch is closed. Which two are the roots of the characteristic
equation? (Choose two) |
(-1400 - j4800)
rad/s(1400 - 4800) rad/s |
A sinusoidal
current has a maximum amplitude of 20 A. the current pases through one
complete cycle in 1 ms. The magnitude of the current at zero time is 10
A. What is the frequency of the current in hertz? |
1000 Hz |
The time required
for the sinusoidal function to pass through all its possible values is
referred to as the ____________ of the cycle |
Period |
A sinusoidal
current source produces a voltage that varies sinusoidally with time. |
False |
The equations for
resonant and damped radian frequencies for the series and the parallel RLC
circuit are the same. |
True |
The currents and
voltages that arise when the inductor or capacitor is disconnected abruptly
from its dc source are referred to as the ___________ of the
circuit. |
Natural response |
The equation for
neper frequency of the series RLC circuit is the same as the equation of the
parallel RLC circuit |
False |
In the circuit
below Will the response be overdamped, underdamped, or critically
damped? |
Overdamped |
The rules for
combining impedances in series or parallel are the same as those for
resistors. |
True |
The basic circuit
analysis and tools covered in Electric Circuit Theory 1 cannot be used to
analyze circuits in the frequency domain. |
False |
The rules for
delta-to-wye transformations for impedances are the same as those for
resistors. |
True |
The equation Z1=Z1Z2+Z2Z3+Z3Z1Z1Z1=Z1Z2+Z2Z3+Z3Z1Z1 is
used when doing |
Delta-to-wye
transformations-incorrect |
The phasor voltage
at the terminals of a resistor is the resistance times the phasor current. |
True |
The equation Z2=ZcZaZa+Zb+ZcZ2=ZcZaZa+Zb+Zc is
used when doing |
Delta-to-wye transformations |
This allows us to
simplify a circuit comprised of sources and impedances into an equivalent
circuit consisting of a current source and a parallel impedance |
Thévenin equivalent
circuits (incorrect) |
This allows us to
exchange a voltage source and a series impedance for a current source and a
parallel impedance and vice versa. |
Source transformations |
The image below
shows a |
|
|
Source transformation
in the frequency domain |
The equation v1+v2+...+vn=0v1+v2+...+vn=0 is
the statement of Kirchhoff’s voltage law as it applies to a set of sinusoidal
voltages in the |
Time domain |
For a resistor, the
voltage and current are |
In phase |
The source
transformations and the Thévenin-Norton Equivalent Circuits discussed
previously in Electric Circuit Theory 1 are analytical techniques that can
also be applied to frequency-domain circuits. |
True |
The equation V1+V2+...+Vn=0V1+V2+...+Vn=0 is
the statement of Kirchhoff’s voltage law as it applies to a set of sinusoidal
voltages in the |
Frequency domain |
For a capacitor,
the voltage and current are |
Out of phase, current
leads by 90° |
This allows us to
simplify a circuit comprised of sources and impedances into an equivalent
circuit consisting of a voltage source and a series impedance |
Delta-to-wye
transformation (incorrect) |
In the
equation i=Imcos(ωt+θi),Imi=Imcos(ωt+θi),Im is called the
_____________. |
Phase angle |
In the figure, the
voltage and the current are |
In phase |
The equation i1+i2+...+in=0i1+i2+...+in=0 is
the statement of Kirchhoff’s current law as it applies to a set of sinusoidal
currents in the |
Time domain |
For n inductor, the
voltage and current are |
Out of phase, current
lags by 90° |
The image below
shows a |
|
|
Thévenin equivalent
circuit in the frequency domain |
Impedances
connected in parallel can be combined into a single impedance by |
Adding the reciprocal
of the individual impedances and getting the reciprocal |
This allows us to
exchange a voltage source and a series impedance for a current source and a
parallel impedance and vice versa. |
Source transformations |
The impedance of an
inductor is denoted by |
J(−1/ωC)J(−1/ωC) |
The interconnected
impedances can be reduced to a single equivalent impedances by means of a |
Norton equivalent
circuits(incorrect) |
In the
equation i=Imcos(ωt+θi),ωi=Imcos(ωt+θi),ω is called the
_____________. |
Angular frequency |
When impedances are
in parallel, they carry the same |
Phasor current |
When impedances are
in series, they carry the same |
Phasor voltage |
In the
equation i=Imcos(ωt+θi),θii=Imcos(ωt+θi),θi is called the
_____________. |
Phase angle |
Impedances
connected in series can be combined into a single impedance by |
Adding the individual impedances |
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