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e. 10 cm. -e. 1cm. e. Calculate E y here. Cathode Ray Tube Conducting Paper. C. +. B. +10 Volts. +. A. +. 0 Volts. E y. E x. +. -. V OUT. -. +. V IN. V OUT. V IN. V=8 volts. = 1cm. V=6 volts. V=4 volts. E=?. V=-2 volts. V=0 volts. V=2 volts. a. b. c. 6 V. d.
E N D
e 10 cm -e 1cm e
Calculate Ey here.
Cathode Ray Tube Conducting Paper C + B +10 Volts + A + 0 Volts
Ey Ex + -
VOUT - + VIN
VOUT VIN
V=8 volts = 1cm V=6 volts V=4 volts E=? V=-2 volts V=0 volts V=2 volts
a b c 6 V d e f 5 V g h i 4 V
A. B. 3 V 3 V C. 3 V
3 C -5 C 4 C 3 cm
3 C -5 C 4 C q 3 cm
3 C -5 C 4 C q 3 cm
3 V 6 V 1,000
Baseball Diamond Heuristic of Electrostatics Equations
RELATING IMPORTANT CONCEPTS (vector) (The force between 2 charges at a distance r from each other.) (vector) (scalar) (The potential energy stored in having 2 charges at a distance r from each other.) (Usually find with Gauss’s Law.) (The change of electric potential a particle experiences moving from one position to another can be used to find the change in its kinetic energy via the “work-energy theorem”: K = W.) (scalar) (Remember: V, the electric potential, has units of energy per unit charge.) Note: F, U, E, and V are all functions of position.
B. 3 V 3 V C. 3 V
3 V 3 2 1
3 V 3 2 1
V R1 R2
V R1 VDMM RDMM V VDMM RDMM
3 V 3 2 1 1
100 200 100 10
V 100 200 100 10
V R1 R2
3 V 3 2 1 1 2
3 V 3 2 1 1 1 2
Reffective=? R4=4 I4=? V4=? 9 V R1= 1 R2= 2 R3= 3 IBattery=? I1=? V1=? I2=? V2=? I3=? V3=?
t V S C O P E
Vmotor on on on on off off off off off Vmotor,on t t1 t2 Vresistor=|Vsource|-Vmotor on on on on off off off off off Vresistor,on t T
Voltage (0.5 volts per div) O S C O P E Time (1 second per div)
Y-axis: Voltage (0.5 volts per division) 1.5 O S C O P E X-axis: Time (1 second per division) 0
red1 R + red2 - C bottom ground
R VR (t) = -Vsource (t) = -VMAXsin(t) Vsource (t) = VMAXsin(t) where VMAX = 5 Volts /(2) = 1,000 Hz
Vsource (t) = VMAXsin(t) where VMAX = 5 Volts /(2) = 1,000 Hz
red1 x-y mode Vamp=3 V red2 CH1 CH2 330 bottom ground
red 1 red 1 100 100 + + red 2 (channel inverted) black (bottom ground) black (middle ground) red 2 - - 200 200
R Vsource (t) C
S C O P E
Y-axis: Voltage (5 volts per division) X-axis: Time (3 millisecond per division)
I L I B I I B BFar is ~ zero BClose is strong Magnet Magnet Magnet
Beginning Position 180o Rotated Position I I I I I I current direction reversed (so is force on wire)
I I
DC Power Supply + - I these wires fixed I brushes allow good contact as loop rotates I current direction always the same (so is force on wire)
A. B. C. S N S N S N I I I S N N N S S
1.5 A 4 V 0.5 4 1.5 4 V 20 V B 2.5
A 1 2 2 3 BATTERY 12 V 1 1 2 B
S 2 F 6 V 6 2 1