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What is the Law of Conservation of Electric Charge?
No net charge can be created or destroyed. Only transformed.
The Cross Product of vectors a & b
A x B = <a2*b3-a3*b2 , a3*b1-a1*b3 , a1*b2-a2*b1>
What does the cross product of two vectors produce?
A vector that is perpendicular to all vectors that were crossed
What is the geometric representation of the Cross Product
||U x B|| = ||U||*||B||*sin(theta) , 0 < theta < pi
What are the steps for writing a program?
Define the purpose of the program
Visualize the program running on a computer
Create a model of the program
Check the model for logical errors
Write, Save, & Compile Code
Correct any errors and repeat steps 5&5 until a successful compilation
Run the program with test data
Correct any errors and repeat steps 5 - 8 until a desired outcome is reached
Validate results
What is procedural programming?
A programming methodology that is centered on writing functions that perform specific tasks
What is object orientated programming?
A programming methodolgy that is centered on creating objects that encapsulate data & procedures
What is a procedure
A collection of statements & variables that perform a specfic tasks
What is a object?
A programming element that contains data and the procedures that operate on the data
What is the area of a parallelogram that is bouned by two vectors?
It is the magnitude of the cross product of the two vectors
What is the volume of a shape bounded by three vectors?
The absolute value of (A X B)*C
Equation of a Line for Calc 3 in Vector Form
R = R0 + tV
Equation of a Line for Calc 3 in Parametric
x(t) = x0 + ta
y(t) = y0 + tb
z(t) = z0 + tc
What are passive elements in circuits?
Circuit elements that cannot generate energy
What are active elements in circuits?
Circuit elements that can generate energy
What is the Ideal Independent Voltage Source?
A source that maintains a fixed voltage across its terminals no matter what
What is the Ideal Independent Current Source?
A source that maintains a fixed current through its terminals no matter what
What are Ideal Dependent Sources?
sources of voltage or current whose value depend on the value of the voltage or current somewhere else in the circuit
What are the four types of dependent sources?
Voltage Controlled Voltage Source
Voltage-Controlled Current Source
Current Controlled Voltage Source
Current Controlled Current Source
What is resistance ?
The measure of a materials opposition to the flow of current
What is a resistor?
a circuit element that resists the flow of current
How is resistance calculated?
R = p*(L/A)
What are the two methods of charging an object?
Charging by contact
induced charge
What is the formula for Coulombs Law
F = k * (Q1*Q2)/r²
What does the Principle of Superposition state?
If several charges are present, the net force is the vector sum of the forces due to each of the other
What is Ohms Law?
V = R*i
What is the relationship between power & resistance
P = Ri² = V²/R
What are Ohms?
The unit of resistance
What is Conductance?
the measure of how easily a material allows for the flow of charge
What is conductance’s relationship to resistance?
G = 1/R
what are the units of conductance?
Mhos
What is Mhos Law?
i = GV or V = i/G
How does conductance relate to power?
P = i²/G = GV²
Does the Passive Sign Convention apply to Ohm’s Law?
Yes
What is a Short Circuit?
a circuit element with a resistance approaching zero
What is a open circuit?
a circuit element with a resistance approaching infinity
Kirchhoff’s Current Law
The algebraic sum of all the currents at any node is zero