MAE-488 Exam 3 UPDATED ACTUAL
Exam Questions and CORRECT Answers
A exponential function (a function of he form y (x) = be^(mx) ) results in a straight line when
plotted on - CORRECT ANSWER - semi-log axes with the dependent variable on the
logarithmic axis
A linear element is an element that obeys the superposition principle - CORRECT
ANSWER - True
A power function (a function of he form y (x) = bx^m results in a straight line when plotted on -
CORRECT ANSWER - log-log axes
A dynamic element is an element - CORRECT ANSWER - where the current output or
state depends ONLY on past and current input
A causal element is an element - CORRECT ANSWER - where the current output does not
depend on future input
Consider the following differential equation. 3(d^3x/dt^3) + 5t (dx/dt) = sin(t) The differential
equation is - CORRECT ANSWER - variable coefficient
A transfer function is the Laplace transform of the input divided by the Laplace transform of the
output. - CORRECT ANSWER - False
Consider the following differential equation. 3(d^3x/dt^3) + 5t (dx/dt) = sin(t) - CORRECT
ANSWER -t
The transfer function is independent of the initial conditions and the input - CORRECT
ANSWER - True
, Consider the following system of differential equations d^2y/dt^2 + 3(d^3x/dt^3) − 7 dx/dt =
sin(t) and d^2x/dt^2 + 5y = 10u (t). What order system of differential equations is this. -
CORRECT ANSWER - 5th
The voltage across a capacitor is v_c (t) = 1/c ∫ t i dt assuming no initial charge on the capacitor.
What is the impedance? - CORRECT ANSWER - 1/Cs
Resistors, capacitors, and inductors are passive elements. - CORRECT ANSWER - True
A circuit consists of a voltage source in series with a resistor, capacitor and inductor. How many
states are required for the state space model? - CORRECT ANSWER -2
Capacitors store energy in the form of - CORRECT ANSWER - Charge
inductors store energy in the form of - CORRECT ANSWER - Magnetic field
Which of the following is the equation for combining 2 resistors, R_1 and R_2, in series into an
equivalent resistance, R_eq? - CORRECT ANSWER - R_eq = R_1 + R_2
changes the direction of the armature current so that the force is always in the same direction. -
CORRECT ANSWER - Communicator
a coil of wire upon which the force is applied - CORRECT ANSWER - armature
the law specifying the magnitude and direction of this force. - CORRECT ANSWER -
Lorentz Force
A 5 input, 4 state, and 2 output system can be represented in transfer function form. - CORRECT
ANSWER - 2x5
Exam Questions and CORRECT Answers
A exponential function (a function of he form y (x) = be^(mx) ) results in a straight line when
plotted on - CORRECT ANSWER - semi-log axes with the dependent variable on the
logarithmic axis
A linear element is an element that obeys the superposition principle - CORRECT
ANSWER - True
A power function (a function of he form y (x) = bx^m results in a straight line when plotted on -
CORRECT ANSWER - log-log axes
A dynamic element is an element - CORRECT ANSWER - where the current output or
state depends ONLY on past and current input
A causal element is an element - CORRECT ANSWER - where the current output does not
depend on future input
Consider the following differential equation. 3(d^3x/dt^3) + 5t (dx/dt) = sin(t) The differential
equation is - CORRECT ANSWER - variable coefficient
A transfer function is the Laplace transform of the input divided by the Laplace transform of the
output. - CORRECT ANSWER - False
Consider the following differential equation. 3(d^3x/dt^3) + 5t (dx/dt) = sin(t) - CORRECT
ANSWER -t
The transfer function is independent of the initial conditions and the input - CORRECT
ANSWER - True
, Consider the following system of differential equations d^2y/dt^2 + 3(d^3x/dt^3) − 7 dx/dt =
sin(t) and d^2x/dt^2 + 5y = 10u (t). What order system of differential equations is this. -
CORRECT ANSWER - 5th
The voltage across a capacitor is v_c (t) = 1/c ∫ t i dt assuming no initial charge on the capacitor.
What is the impedance? - CORRECT ANSWER - 1/Cs
Resistors, capacitors, and inductors are passive elements. - CORRECT ANSWER - True
A circuit consists of a voltage source in series with a resistor, capacitor and inductor. How many
states are required for the state space model? - CORRECT ANSWER -2
Capacitors store energy in the form of - CORRECT ANSWER - Charge
inductors store energy in the form of - CORRECT ANSWER - Magnetic field
Which of the following is the equation for combining 2 resistors, R_1 and R_2, in series into an
equivalent resistance, R_eq? - CORRECT ANSWER - R_eq = R_1 + R_2
changes the direction of the armature current so that the force is always in the same direction. -
CORRECT ANSWER - Communicator
a coil of wire upon which the force is applied - CORRECT ANSWER - armature
the law specifying the magnitude and direction of this force. - CORRECT ANSWER -
Lorentz Force
A 5 input, 4 state, and 2 output system can be represented in transfer function form. - CORRECT
ANSWER - 2x5
