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electric dipole moment formula and direction
p = qs, where s is seperation
negative to positive
torque = pEsin(theta)
What is theta?
Angle between p and E
Electric field units
N/C
Torque/work unit
N-m or J
Energy unit
J
Udipole = −pEcos(ϕ)
What is the theta thing?
angle between p and E
electric potential/voltage unit
V
Vcap = | E | x = (x/d) * ΔVcap
What is x, what is d?
x is current distance value (THIS IS TRUE FOR SECOND FORMULA TOO)
d is final distance value at end of capacitor
Voutside sphere = (R/r) * V0 where V0 = K(Q/R)
What is big R?
Radius of sphere
Vdipole = Kpcos(θ)/r2
What is theta?
angle between p and point being measured
λ = Q/L
What is greek character, and units?
Linear charge density, C/m
σ = Q/A
What is greek character and units?
Surface charge density, C/m2
I = ρAcross sectionvdrag
what is ρ?
density of fluid
R = ρL/Across section
What is ρ?
resistivity
Current unit
A
Resistivity unit
Ohm-m
Power unit
W
You’re converting 1 cm2 to m2. What do you do?
1.0 cm2 = (1.0×10-2m/1.0cm)*(1.0×10-2m/1.0cm) = 1.0×10-4m2
Another formula for current, relating to number of charged objects
I = q+N+/t diff - q-N-/t diff
Direction of magnetic dipole moment vector, and units
south pole to north pole, A-m²
Magnetic field units
T
Right hand rule for forces
Thumb is F. Pointer is v or I. Middle is magnetic field.
frequency units
Hz
torque = |m||B|sinθ
Umag = -|m||B|cosθ
What is θ?
Angle between vectors m and B
Kinematic eq missing Δx (the one used for practice exam 2 prob 8)
vf = v0 + at
Kinematic eq missing a
Δx = ((vf + v0)/2) * t
Kinematic eq missing vf
Δx = v0t + (1/2)at2
Kinematic eq missing t (the hard one)
v2f = v20 + 2aΔx
Picture shows Biot-Savart for small piece of current as listed on the practice exam.
Definition is alternative equation I can use without the cross product:
Do currents moving in the same direction attract or repel?
Attract
What is L in the wave optics problems
Distance from slits to patterns
y diff = L*lambda/d for double slit interference
what is d, and what are the positions this measures
d is distance between slits
position difference of bright fringes
yp = p*L*lambda/a for single slit diffraction
what is a, and what are the positions this measures
a is width of slit
yp is distance of dark fringe from the central maximum
w = 2L*lambda/a for single slit diffraction
what is a, and what is w
a is width of slit
w is width of central maximum
w = 2.44L*lambda/D for circular aperture diffraction
what is D, and what is w
D is diameter of aperture (hole)
w is width/diameter of central maximum