Physics 102: Lecture 3 Electric Potential Today’s lecture will cover Textbook Sections 17.1 - 3 Honors Credit info on web under course description. Physics 102: Lecture 3, Slide 1

Overview for Today’s Lecture Electric Potential Energy/ Work Uniform fields Point charges Electric Potential (like height) Show large and small battery 9 volt small, 6 volt large Physics 102: Lecture 3, Slide 2

Recall Work from P101 Work done by the force given by: W = F d cos(q) Positive: Force is in direction moved Negative: Force is opposite direction moved Zero: Force is perpendicular to direction moved Careful ask WHAT is doing work! Opposite sign for work done by you! Conservative Forces D Potential Energy = -Wconservative Use book or brick for prop. Ask students if I am doing positive or negative work, what about gravity. Physics 102: Lecture 3, Slide 3

Preflight 3.1 C A B Uniform E In what direction does the force on a negative charge at point A point? left right up Physics 102: Lecture 3, Slide 4

Preflight 3.1 C F A B - Uniform E In what direction does the force on a negative charge at point A point? left right up Electric field points in the direction a POSITIVE charge would feel force. Physics 102: Lecture 3, Slide 5

Preflight 3.2 C A B Uniform E When a negative charge is moved from A to C the ELECTRIC force does positive work. zero work. negative work. Physics 102: Lecture 3, Slide 6

Preflight 3.2 motion - F C - F The work is zero because the path is perpendicular to the field - F - F - F A B Uniform E When a negative charge is moved from A to C the ELECTRIC force does positive work. zero work. negative work. Physics 102: Lecture 3, Slide 7

Preflight 3.3 C A B Uniform E When a negative charge is moved from A to B the ELECTRIC force does positive work. zero work. negative work. Physics 102: Lecture 3, Slide 8

Preflight 3.3 C The work is negative the electric force opposes the direction of motion A B - F - F - F - F - F - Uniform E motion When a negative charge is moved from A to B the ELECTRIC force does positive work. zero work. negative work. Physics 102: Lecture 3, Slide 9

Preflight 3.5 C A B When a negative charge is moved from A to B, the electric potential energy of the charge Increases is constant decreases Physics 102: Lecture 3, Slide 10

Preflight 3.5 C A B - - - - - Uniform E When a negative charge is moved from A to B, the electric potential energy of the charge Increases is constant decreases UE = -WE field Like “climbing up hill” – increases potential energy Physics 102: Lecture 3, Slide 11

ACT: Electric Potential Energy + C B A When a negative charge is moved from A to B, the electric potential energy of the charge (1) increases (2) is constant (3) decreases Now switch to point charges! Physics 102: Lecture 3, Slide 12

ACT: Electric Potential Energy AC: W=0 E + C CB: W<0 B A - - - - - When a negative charge is moved from A to B, the electric potential energy of the charge (1) increases (2) is constant (3) decreases Now switch to point charges! 1) The electric force is directed to bring the electron closer to be proton. 2) Since the electron ends up further from the proton the electric field did negative work. 3) So the electric potential energy increased Physics 102: Lecture 3, Slide 13

Work and D Potential Energy W = F d cos(q) Gravity Electric Brick raised yi yf Charge moved ∞  rf FE = kq1q2/r2 (left) WE = -kq1q2/rf DUE= +kq1q2/rf FG = mg (down) WG = -mgh DUG= +mgh yf rf h yi Physics 102: Lecture 3, Slide 14

Work done by YOU to assemble 3 charges Example W1 = W2 = W3 = Wtotal = WE = D UE = Do this live with balls on the table! 3 5 m 5 m 1 2 5 m Watch signs! Physics 102: Lecture 3, Slide 15

ACT: Work done by YOU to assemble 3 negative charges How much work would it take YOU to assemble 3 negative charges? 3 W = +19.8 mJ W = 0 mJ W = -19.8 mJ 5 m 5 m 1 2 5 m Physics 102: Lecture 3, Slide 16

ACT: Electric Potential Energy of 3 negative charges Likes repel, so potential energy is still positive! 3 UE = +19.8 mJ UE = 0 mJ UE = -19.8 mJ 5 m 5 m 1 2 5 m Physics 102: Lecture 3, Slide 17

Preflight 3.11 1 + 5 m 5 m + - 2 5 m 3 The total work required by you to assemble this set of charges is: (1) positive (2) zero (3) negative Physics 102: Lecture 3, Slide 18

Preflight 3.11 1 + 5 m 5 m + - 2 5 m 3 The electric potential energy of this set of charges is: (1) positive (2) zero (3) negative Bring in (1): zero Bring in (2): positive Bring in (3): negative x 2 Physics 102: Lecture 3, Slide 19

Electric Potential (like height)* Units Joules/Coulomb Volts Batteries Outlets EKG Really Potential differences Equipotential lines at same height Field lines point down hill V = k q/r (distance r from charge q) V(∞) = 0 Comment on lab w/ equipotential lines Physics 102: Lecture 3, Slide 20

Preflight 3.7 The electric potential at point A is _______ at point B greater than equal to less than Physics 102: Lecture 3, Slide 21

Preflight 3.7 To go from B to A, a positive charge must climb “up hill” – increases potential energy. Hence A is at higher potential than B The electric potential at point A is _______ at point B greater than equal to less than Physics 102: Lecture 3, Slide 22

Preflight 3.9 The electric potential at point A is _______ at point B conductor The electric potential at point A is _______ at point B greater than equal to less than Physics 102: Lecture 3, Slide 23

Preflight 3.9 The electric potential at point A is _______ at point B conductor The electric potential at point A is _______ at point B greater than equal to less than The electric field is zero at any point within a conducting material Physics 102: Lecture 3, Slide 24

ACT: Electric Potential + C B A The electric potential at A is ___________ the electric potential at B. greater than equal to less than Physics 102: Lecture 3, Slide 25

ACT: Electric Potential + C B A The electric potential at A is ___________ the electric potential at B. greater than equal to less than 1) Electric field lines point “down hill” 2) AC is equipotential path (perpendicular to E) 3) CB is down hill, so B is at a lower potential than (“down hill from”) A Physics 102: Lecture 3, Slide 26

Electric Potential due to Proton What is the electric potential a distance r = 0.5310-10 m from a proton? (Let V() = 0) V = U/q = k q/ r = What is the electric potential energy of an electron a distance r = 0.5310-10 m from a proton? U = Vq = rf = 0.510-10 m + - Physics 102: Lecture 3, Slide 27

Comparison: Electric Potential Energy vs. Electric Potential Electric Potential Energy (U) - the energy of a charge at some location. Electric Potential (V) - found for a location only – tells what the EPE would be if a charge were located there (usually talk about potential differences between two locations): U = qV Neither has direction, just location. Sign matters! Physics 102: Lecture 3, Slide 28

Example Two Charges Calculate electric potential at point A due to charges Calculate V from +7mC charge Calculate V from –3.5mC charge Add (EASY!) V = kq/r V7 = V3 = Vtotal = A 4 m 6 m Q=+7.0mC Q=-3.5 mC W=DU=DVq = How much work do you have to do to bring a 2 mC charge from far away to point A? Physics 102: Lecture 3, Slide 29

ACT: Two Charges In the region II (between the two charges) the electric potential is 1) always positive 2) positive at some points, negative at others. 3) always negative I II III Q=+7.0mC Q=-3.5 mC Physics 102: Lecture 3, Slide 30

ACT: Two Charges In the region II (between the two charges) the electric potential is 1) always positive 2) positive at some points, negative at others. 3) always negative I II III Q=+7.0mC Q=-3.5 mC Very close to positive charge potential is positive Very close to negative charge potential is negative Physics 102: Lecture 3, Slide 31

To Do Read 17.5-6, 18.1-2, 6 Bring “Problem Solver” to discussion section Complete preflight before 8:00AM on day of next lecture. Physics 102: Lecture 3, Slide 32