ENT 342 exam II

The square root of -1 is

i*i or j*j is

i^3 or j^3 is

i^4 or j^4 is

A complex number is

Complex numbers

The number (3+j4) is an example of a _______ number

The real part of 3+j4 is

The imaginary part of 3+j4 is

The magnitude of 3+j4 is

The angle of 3+j4 is

The sum of 3 and j4 is

The magnitude of the sum of 3 and j4 is

The angle of the sum of 3 and j4 is

exp(1) is

exp(j*pi) is

exp(-j*pi) is

exp(-j*pi/2) is

The sum of 3 and j4 is

Complex numbers can be

exp(j*z) is the same as

sin(z), cos(z), tan(z), ln(z), log(z) _____ when z is a complex number

AC voltage of 5*exp(j53.13 deg) has an amplitude of

AC voltage of 5*exp(j53.13 deg) has an phase of

Video H342510 has an error at time 4:56 where the ramp function is missing.
True False

The mathematically rigorous version of a complex number in polar form is

A complex number in polar form looks like (exp(-i*G)*A) if G is expressed in

A complex number in polar form looks like (A/_G) if G is expressed in

The poles of F(s)=N(s)/D(s) are also the roots of the polynomial:

The possible number of different types of poles of F(s) in this course is

The inverse Laplace Transform of F(s) contains f(t)=A*exp(K*t)*sin(w*t+M) for each

The inverse Laplace Transform of F(s) contains f(t)=A*t*exp(-H*t) + C*exp(-H*t) for each

The inverse Laplace Transform of F(s) contains a term f(t)=A*exp(-B*t) for each

The inverse Laplace Transform of F(s) contains a term f(t)=A*exp(-B*t) for each

Can M be expressed in degrees in f(t)=A*exp(K*t)*sin(w*t+M)?

The radian phase shift of f(t)=A*exp(K*t)*sin(w*t+M) is

The radian/second frequency of f(t)=A*exp(K*t)*sin(w*t+M) is

The function f(t)=A*exp(K*t)*sin(w*t+M) is called

The function f(t)=A*t*exp(-H*t) + C*exp(-H*t) is called

The function f(t)=A*exp(-B*t) is called

If B is negative in the function f(t)=A*exp(-B*t), then the time constant

The time constant in f(t)=A*exp(-K*t)*sin(w*t+M) is 1/K.

In this stable function, f(t)=A*exp(K*t)*sin(w*t+M), K is

The time constant of both terms in f(t)=A*t*exp(-H*t) + C*exp(-H*t)

The time constant in f(t)=A*exp(-B*t) is

Delta functions closely approximate real-world situations.
True False

Delta functions are

. 6*delta(t) has a height of _____ and width of _____ and an area of ____.

A unit delta function has a height of _____ and width of _____ and an area of ____.

A delta function has a height of _____ and width of _____.

If F(s) is a constant, the inverse Laplace transform f(t) is

Long division can be performed on polynomials by the TI-89 using the function

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s), and N2(s) is a

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s), and P(s)

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s) is derived from improper F(s)=N(s)/D(s) by dividing

For improper F(s)=N(s)/D(s), proper F(s)=P(s)+N2(s)/D(s) is where the degree of ___ is less than the degree of ____.

F(s) = N(s) / D(s) is improper when the degree of ___ is greater or equal to the degree of ____.

The improper fraction 13/4 can be made proper by division and is equivalent to

1/j

The impedance in Ohms of a capacitor is _____ Ohms.

The impedance in Ohms of an inductor is _____ Ohms.

The impedance in Ohms of a resistor is _____ Ohms.

Use the s-domain instead of the jw-domain, because the s-domain yields

Use the jw-domain instead of the s-domain

To transform from the s-domain to the jw-domain, replace s with j*w.
True False

Derivative in the time domain is equivalent to ______ in the s-domain.

The Laplace transform of i'(t)=(d/dt)i(t) is

The Laplace transform of v'(t)=(d/dt)v(t) is

IV relationship for a resistor is _____ in the time domain.

IV relationship for an inductor or capacitor is _____ in the time domain.

IV relationship for an inductor or capacitor is _____ in the time domain

Impedance of a resistor, capacitor, and inductor are derived from the ____ of each.

Definition of impedance is Z(s)=

The impedance in Ohms of a capacitor is _____ Ohms.

The impedance in Ohms of an inductor is _____ Ohms.

The impedance in Ohms of a resistor is _____ Ohms.

complex number with Ohms units is called

(A angle(B)) = A*exp(j*B)

The complex number (A angle(B)) represents the sinusoid

A complex number that represents a sinusoid is called a

Y=1/Z and Z=1/Y, therefore R=1/G and G=1/R
True False

The relationship between Z and Y is

In Y = G + jB, Y is ____; G is ____; B is ____, all in units of Siemens.

In Z = R + jX, Z is ____; R is ____; X is _____, all in units of Ohms.

A*(1 at -180 deg) =

A*(1 at 180 deg)*(-1) =

A*(-1)*(-1) =

(-1 at 0 degrees) is a complex number equal to

1 at -180 degrees) is a complex number equal to

(1 at 180 degrees) is a complex number equal to

V1=(10 at -20 degrees) volts and V2=(50 at -60 degrees) volts. V1 ____ V2 by ____.

V1=(10 at 20 degrees) volts and V2=(50 at 60 degrees) volts. V1 ____ V2 by ____.

Steady state AC circuit analysis uses _____ techniques as for DC circuits.

jw-domain impedance in Ohms of an inductor has an angle of

jw-domain impedance in Ohms of a capacitor has an angle of

jw-domain impedance in Ohms of a resistor has an angle of

A phasor is a complex number representing a

After 1 second, V(t)=-12exp(-4t)+13.4sin(2t+1.107) will be

The transient in V(t)=-12exp(-4t)+13.4sin(2t+1.107) will be 98.2% complete at t=_____ second(s).

e steady state part of V(t)=-12exp(-4t)+13.4sin(2t+1.107) is

The transient part of V(t)=-12exp(-4t)+13.4sin(2t+1.107) is

V(t)=-12exp(-4t)+13.4sin(2t+1.107) is the voltage across the inductor in an RL circuit containing switch and 30sin(2t) voltage source in H342540 video
True False

V(t)=-12exp(-4t)+13.4sin(2t+1.107) is the voltage across the inductor in an RL circuit containing switch and 30sin(2t) voltage source in H342540 video

In V=(10 at 20 degrees) volts, is the phasor representation of

In I=(10 at 20 degrees) amps, is the phasor representation of

In Z = 30 - j40, the impedance angle is _____ degrees

In Z = 30 + j40, the impedance angle is _____ degrees

In Z = 30 - j40, the impedance magnitude is ____ Ohms

In Z = 30 + j40, the impedance magnitude is ____ Ohms

In Z = 30 - j40, 40 Ohms is ______ reactance of 40 Ohms

In Z = 30 + j40, 40 Ohms is ______ reactance of 40 Ohms

In Z = R + jX, X in Ohms is

In Z = R + jX, Z in Ohms is

In Z = R + jX, R in Ohms is

Square root of the average of a function squared is the same as RMS.
True False

In S = 3 + j4, apparent power=_____, power=_____, and reactive power=_____.

V*conj(V)/(2*conj(Z)) sto-> apvz(V,Z) creates a TI-89 function for complex power in terms of phasor voltage and jw-domain impedance.
True False

I*conj(I)*Z/2 sto-> apiz(I,Z) creates a TI-89 function for complex power in terms of phasor current and jw-domain impedance.
True False

. V*conj(I)/2 sto-> apiv(I,V) creates a TI-89 function for complex power in terms of phasor current and voltage
True False

The "2" in S=VI^*/2 occurs when the phasor voltage or current amplitude is

If phasor voltage or current were defined using the RMS value instead of the peak value, then complex power would be

S = V multiplied by I^* divided by 2 (S=VI^*/2) is analogous to the DC power formula (P=IV).
True False

If A is a phasor, then A^* is complex conjugate of A
True False

Complex conjugate of A+jB is

Unity power factor (PF=1) is desirable because

Unity power factor (PF=1) occurs when

In the power triange for S = P + jQ, _____ is the power factor (PF).

. In the power triangle for S = P + jQ,

An resistor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
True False

An inductor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
True False

A capacitor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
True False

In complex power S = P + jQ, Q is power in VARS that is

In complex power S = P + jQ, P is power in watts that is _______.

Complex power is S = P + jQ, and Q is NEGATIVE, then Q is

Complex power is S = P + jQ, and Q is POSITIVE, then Q is

The mathematical expression for complex power is S = P +- jQ where S is ____ and "+-" means plus or minus.

The mathematical expression for complex power is S = P +- jQ where Q is ____ and "+-" means plus or minus.

The mathematical expression for complex power is S = P +- jQ where P is ____ and "+-" means plus or minus.

Complex power has units of