Electric Potential & U _{E} Lesson 03 |

OPENING QUESTIONS: Let's review the kinda cool integration problems from yesterday: - We'll volunteer someone to come up for example 25.7 AND someone else to come up and show us problem 25.44
OBJECTIVES: WORDS/FORMULAE FOR TODAY Terms:
Constants:
Formulae: - Electric Potential (V) and Electric Potential Energy (U
_{E})- ∆U = -q∫E ∙ ds
- V
_{b}- V_{a}= ∆V = ∆U/q = -∫E ∙ ds - W = q∆V = -U
_{E} - V = k
_{e}∑q_{i}/r_{i}(between some point in space and each charged particle present in that region of space) - V = ∫k
_{e}dq/r - U
_{E}= k_{e}∑q_{1}q_{2}/r_{i}(between each particle in space and every other particle in that region of space) - E
_{x}= -dV/dx
- Electrical Force:
- F
_{e}= (k_{e}q_{1}q_{2})/r^{2} - F
_{e}=qE
- F
- Electrical Field:
- E = F
_{e}/ q_{o}where q_{o}= a positive test charge - E= (k
_{e}q)/r^{2}
- E = F
- Gauss's Law:
Φ = ∮E ∙A dA Φ = q _{in}/ε_{o}: the electric flux through an ENTIRE gaussian surface is equal to the algebraic sum of the charges INSIDE the surface divided by the permitivity of free space
WORK O' THE DAY (revised): Ok, so it looks like I overwrote volts 02 right over the top of volts 03....blech, I was cold and cranky... sorry everyone. To wit... we've got a VERY short day today, and it would be a very good idea for me to see where everyone's at with all of this.... so: Let's do a quick temperature check. Please bust out a loose sheet of paper and (working alone if you would please) address the following: 1) What is the significance of use 2a) Compare electric potential (voltage) and potential energy. 2b) Contrast electric potential (voltage) and potential energy. 3) When we integrate Eds, why is the upper limit " 4) How do we calculate electric force in terms of the electric field? 5) What is Coulomb's Law? 6) What is the numeric value of the electrical constant? 6b) What is the more symbol-based value of the electrical constant? 7) When your * ∮EcosθdA as a check list, what the heck is he talking about? 7) We can 8) Oh and by the way ( 9) When you ( 10) What is the significance of the surface integral: ∮? 11) What is the definition of electric potential? (trick question: how is it different from potential difference?) 12) What is the relationship between voltage and work? 13) What are the various mathematical equations that relate Efield to voltage? (show me at least 3) 14) What is the relationship between multiple point charges and voltage? 15) What integral gives us that relationship? 16) What is the relationship between voltage and potential energy? UNLESS I'm WELL off the mark, we'll have lots of empty spaces on this one... that's ok, it was a rough week. |

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