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- Hyco: Btw. the equation of light was so simple your little brother could do it. all you had to do is take Electron = -1.602 19 × 10
- -19
- C = 9.11 × 10
- -31
- kg
- Proton = 1.602 19 × 10
- -19
- C = 1.67 × 10
- -27
- kg
- Neutron = 0 C = 1.67 × 10
- -27
- kg
- 6.022 × 10
- 23
- atoms in one atomic mass unit
- e is the elementary charge: 1.602 19 × 10
- -19
- C
- Potential Energy, velocity of electron: PE = eV = ½mv
- 2
- 1V = 1J/C 1N/C = 1V/m 1J = 1 N·m = 1 C·V
- 1 amp = 6.21 × 10
- 18
- electrons/second = 1 Coulomb/second
- 1 hp = 0.756 kW 1 N = 1 T·A·m 1 Pa = 1 N/m
- 2
- Power = Joules/second = I
- 2
- R = IV [watts W]
- Quadratic
- Equation: x
- b b ac
- a
- =
- - ± -
- 2
- 4
- 2
- Kinetic Energy [J]
- KE = mv
- 1
- 2
- 2
- [Natural Log: when e
- b
- = x, ln x = b ]
- m: 10
- -3
- m: 10
- -6
- n: 10
- -9
- p: 10
- -12
- f: 10
- -15
- a: 10
- -18
- Addition of Multiple Vectors:
- r r r r
- R = A + B + C Resultant = Sum of the vectors
- r r r r
- Rx = Ax + Bx + Cx
- x-component A A
- x = cos q
- r r r r
- Ry = Ay + By + Cy
- y-component Ay = A sin q
- R = Rx + Ry
- 2 2
- Magnitude (length) of R
- qR
- y
- x
- R
- R
- =
- -
- tan
- 1
- or tanqR
- y
- x
- R
- R
- = Angle of the resultant
- Multiplication of Vectors:
- Cross Product or Vector Product:
- i ´ j = k j ´ i = -k
- i ´ i = 0
- Positive direction:
- i
- j k
- Dot Product or Scalar Product:
- i × j = 0 i × i = 1
- a × b = abcosq
- k
- i
- j
- Derivative of Vectors:
- Velocity is the derivative of position with respect to time:
- v = + + k = i + j + k
- d
- dt
- x y z
- dx
- dt
- dy
- dt
- dz
- dt
- ( i j )
- Acceleration is the derivative of velocity with respect to
- time:
- a = + + k = i + j + k
- d
- dt
- v v v
- dv
- dt
- dv
- dt
- dv
- dt
- x y z
- x y z
- ( i j )
- Rectangular Notation: Z = R ± jX where +j represents
- inductive reactance and -j represents capacitive reactance.
- For example, Z = 8 + j6W means that a resistor of 8W is
- in series with an inductive reactance of 6W.
- Polar Notation: Z = M Ðq, where M is the magnitude of the
- reactance and q is the direction with respect to the
- horizontal (pure resistance) axis. For example, a resistor of
- 4W in series with a capacitor with a reactance of 3W would
- be expressed as 5 Ð-36.9° W.
- In the desc and divide it by discharging:
- q Qe
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