The stable exponential function changes _____% every time constant.
63.2
The stable exponential function leaves _____% remaining every time constant.
36.8
The stable exponential function reaches the practical-final value in 4 or 5 time constants
true
Only _____% remains after 4 times constants in the stable exponential function
1.8
Only _____% remains after 5 times constants in the stable exponential function.
0.67
A stable exponential function has the form y=exp(a*t) where "a" is
-1/tau
A stable exponential function has the form y=1-exp(a*t) where "a" is
-1/tau
A stable exponential function, y=exp(a*t), is a(n) _____ function.
decreasing
A stable exponential function, y=1-exp(a*t), is a(n) _____ function.
increasing
In this course, it is assumed that the stable exponential function reaches steady state after ___ time constants.
4
If "a" is positive, the exponential function, y=exp(a*t), is
unstable
What number "A" yields the DEQ: A^t = (d/dt)(A^t)
e
Why does e=2.71828...? This is a special number that "pops" out of nature because
both of these
the expontial function is its own derivative
e^t = (d/dt)(e^t)
The capacitor _______ is always continuous.
voltage
The inductor _______ is always continuous.
current
In Fig 260 (HW Ex260), each capacitor acts like a ______ at t=0+, due to the IV relationship for a capacitor.
short(wire)
In Fig 260 (HW Ex260), inductor acts like a ______ at t=0+, due the IV relationship for an inductor.
open
For the resistors in Fig 260 (HW Ex260), _______ continuous.
for each resistor, neither voltage nor current need be
The notation t=0- means ______ and t=0+ ,means _____
just prior to t=0, just after t=0
In Fig 260 (HW Ex270), both capacitors act like a(n) ______ in the steady state, due the IV relationship for a capacitor.
open
In fig 260 (HW Ex270), the inductor acts like a(n) ______ in the steady state, due the IV relationship for the inductor.
short(wire)
Resistors in transient circuits act like ______, due the IV relationship for resistors.
resistors, which can have discontinuous voltage or current
A square wave of voltage across a resistor would result in a _____ current function.
square wave
A square wave of current through a resistor would result in a _____ voltage function.
square wave
A square wave of current through an inductor would result in a _____ voltage function.
infinite pikes (delta functions), alternating between positive and negative
A square wave of voltage across a capacitor would result in a _____ current function
infinite pikes (delta functions), alternating between positive and negative
A triangle wave of current through an inductor would result in a _____ voltage function.
square wave
A triangle wave of voltage across a capacitor would result in a _____ current function.
square wave
If the current through an inductor could be positive unit step (u(t)), the voltage would be
positive infinite spike (delta function)
If the voltage across a capacitor could be positive unit step (u(t)), the current would be
positive infinite spike (delta function)
If iL(t)= cos(t), then vL(t) is
-L*sin(t)
If iL(t)= sin(t), then vL(t) is
L*cos(t)
If iL(t)=M*t+B, then vL(t) is
L*M
If the inductor current is constant (i.e. iL(t)=A), then the voltage (vL(t)) is
zero
If vc(t)= cos(t), then ic(t) is
-C*sin(t)
If vc(t)= sin(t), then ic(t) is
C*cos(t)
If vc(t)= M*t + B, then ic(t) is
C*M
If the capacitor voltage is constant (i.e. vc(t)=A), then the current (ic(t)) is
zero
The current-voltage relationship for a capacitor is
a differential equation
The current-voltage relationship for a resistor is
Ohm's Law
Using the notation: y vs x or i(t) vs v(t), the slope of the linear-resistor relationship is
1/R
Using the notation: y vs x or v(t) vs i(t), the slope of the linear-resistor relationship is
R
The load resistor that dissipates the maximum power is the
same as the Thevenin or Norton source resistance
Replace current sources in the superposition method with ______.
opens
Replace voltage sources in the superposition method with ______.
shorts
The only method that can handle mixed sources is the ______ method.
Superposition
One can ignore the relative sizes of the loop currents (eg The relative sizes of I1, I2, I3 do not matter, but the direction does matter).
true
One ______ the relative sizes of the node voltages (eg ______ ).
must assume, for example: V1>V2>V3 or V3>V2>V1 or V1>V3>V2
Actual current in the loop current method is the assumed current if
that branch is isolated
Loop current or node voltage method can be used for a circuit containing mixed sources if
Thevenin/Norton method is first used to make all the sources the same.
Each voltage in the node voltage method is the ______ voltage.
assumed
Each current in the loop current method is the ______ current.
KCL
The loop current method develops one ____ equation per loop.
KVL
The node voltage method requires all _____ sources.
current
The loop current method requires all ______ sources.
voltage
L=[1,1;2,2] M=[3;3]. N=L*M. N(1,1)=
6
When conventional current leaves the positive terminal of a battery, the battery is
delivering power
Advanced circuit analysis methods using multiple sourses include: Superposition, Loop Current, Node Voltage, Thevenin/Norton and
no more. Only those four
The video entitled "EE Toolbox" claims that those tools are sufficient for any circuit containing one only one source.
inclusion of Wye-Delta and Delta-Wye formulas would make this true.
The current divider rule applies to
two parallel resisitors
The voltage divider rule applies to
two series resistors
Voltage sources can be connected in series
yes, this is true
Voltage sources can be connected in parallel if
they are identical
Resistor conventional current direction is
always in the positive terminal
Conventional current direction through a battery
depends on the rest of the circuit
Conventional current direction through a resistor
is always from high to low voltage
Parallel resistors have the
identical voltage
Series resistors have the
identical current
Power is
V*V/R
I*I*R
I*V
A current source has a
constant current
Parallel current sources combine like
addition or subtraction, depending on current direction
Series batteries combine like
series resistors, except polarity is considered
KCL is
Currents balance for any node (i.e. current in = current out)
KVL is
Voltages (delta-Vs) around any loop balance
The law of Ohm is
I=V/R
The number of radians in 180 degrees is
pi
The number of degrees in one radian is approximately
57
The angle measured in radians is
the arc length divided by the radius
An angle of one radian occurs when the _____ and the arc length are ____.
radius, the same
What is an infinite-Ohm resistor?
open circuit
An infinite-Ohm resistor connected to the open terminals of the original circuit or to the Thevenin or the Norton circuit will all have ______ voltage and will also have the
the same, the same
A zero-Ohm resistor connected to the open terminals of the original circuit or to the Thevenin or the Norton circuit will all have ______ voltage and will also have the
the same, the same
A Thevenin/Norton conversion will simplify a multiple source circuit, into a circuit containing ___ source(s).
1
When the same external-load resistor is connected to equivalent Thevenin and Norton circuits, the load-resistor voltages will be ____ and the currents will be ___.
the same, the same
After finding R_Norton and I_Norton, Vth can be calculated with Vth =
R_Norton * I_Norton
After finding Rth and Vth, I_Norton can be calculated with I_Norton =
Vth/Rth
Any component connected to a circuit will have the same voltage and current when connected to the equivalent Norton circuit.
true
Any component connected to a circuit will have the same voltage and current when connected to the equivalent Thevenin circuit.
true
A Norton source is a ___________ source
current
A Thevenin source is a ___________ source
voltage
When finding the Thevenin or Norton resistance between two open terminal, replace all CURRENT sources with
opens
When finding the Thevenin or Norton resistance between two open terminal, replace all VOLTAGE sources with
shorts
The relationship between the Thevenin resistance and Norton resistance is
they are equal
When a wire is connected between the two open Norton terminals, that current is called
short-circuit current
When a wire is connected between the two open Thevenin terminals, that current is called
short-circuit current
The current through the shorted (previously open) terminals of the Thevenin or Norton circuit is called
short-circuit current
The voltage between the open terminals of the Thevenin or Norton circuit is called