Week 2 of Sophmore Year

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37 Terms

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What is the Law of Conservation of Electric Charge?

No net charge can be created or destroyed. Only transformed.

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The Cross Product of vectors a & b

A x B = <a2*b3-a3*b2 , a3*b1-a1*b3 , a1*b2-a2*b1>

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What does the cross product of two vectors produce?

A vector that is perpendicular to all vectors that were crossed

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What is the geometric representation of the Cross Product

||U x B|| = ||U||*||B||*sin(theta) , 0 < theta < pi

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What are the steps for writing a program?

  1. Define the purpose of the program

  2. Visualize the program running on a computer

  3. Create a model of the program

  4. Check the model for logical errors

  5. Write, Save, & Compile Code

  6. Correct any errors and repeat steps 5&5 until a successful compilation

  7. Run the program with test data

  8. Correct any errors and repeat steps 5 - 8 until a desired outcome is reached

  9. Validate results

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What is procedural programming?

A programming methodology that is centered on writing functions that perform specific tasks

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What is object orientated programming?

A programming methodolgy that is centered on creating objects that encapsulate data & procedures

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What is a procedure

A collection of statements & variables that perform a specfic tasks

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What is a object?

A programming element that contains data and the procedures that operate on the data

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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

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What is the volume of a shape bounded by three vectors?

The absolute value of (A X B)*C

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Equation of a Line for Calc 3 in Vector Form

R = R0 + tV

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Equation of a Line for Calc 3 in Parametric

  • x(t) = x0 + ta

  • y(t) = y0 + tb

  • z(t) = z0 + tc

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What are passive elements in circuits?

Circuit elements that cannot generate energy

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What are active elements in circuits?

Circuit elements that can generate energy

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What is the Ideal Independent Voltage Source?

A source that maintains a fixed voltage across its terminals no matter what

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What is the Ideal Independent Current Source?

A source that maintains a fixed current through its terminals no matter what

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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

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What are the four types of dependent sources?

  1. Voltage Controlled Voltage Source

  2. Voltage-Controlled Current Source

  3. Current Controlled Voltage Source

  4. Current Controlled Current Source

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What is resistance ?

The measure of a materials opposition to the flow of current

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What is a resistor?

a circuit element that resists the flow of current

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How is resistance calculated?

R = p*(L/A)

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What are the two methods of charging an object?

  1. Charging by contact

  2. induced charge

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What is the formula for Coulombs Law

F = k * (Q1*Q2)/r²

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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

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What is Ohms Law?

V = R*i

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What is the relationship between power & resistance

P = Ri² = V²/R

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What are Ohms?

The unit of resistance

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What is Conductance?

the measure of how easily a material allows for the flow of charge

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What is conductance’s relationship to resistance?

G = 1/R

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what are the units of conductance?

Mhos

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What is Mhos Law?

i = GV or V = i/G

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How does conductance relate to power?

P = i²/G = GV²

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Does the Passive Sign Convention apply to Ohm’s Law?

Yes

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What is a Short Circuit?

a circuit element with a resistance approaching zero

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What is a open circuit?

a circuit element with a resistance approaching infinity

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Kirchhoff’s Current Law

The algebraic sum of all the currents at any node is zero