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MCAT physics & math > Equations > Flashcards

Equations Flashcards

1
Q

Half life

A

n=noe^-(wavelength)(time)

n=no(1/2)^t/h

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2
Q

Electric field equation

A

E=Fe/q

E=kQ/r^2

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3
Q

Finding Electric field with voltage

A

V=Ed

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4
Q

Wave formula for velocity

A

v=f(wavelength)

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5
Q

Speed of light

A

c=3 x 10^8 m/s

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6
Q

Period and frequency relation

A

f=1/T

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7
Q

Electric force

A

qE

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8
Q

Capacitators in series

A

Add in reciprocal

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9
Q

Electric field between anode and cathode

A

E=(V-IR)/L

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10
Q

Capacitance is proportional to

A

Plate area

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11
Q

Ohm’s Law

A

I=V/R

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12
Q

Voltage, resistance, current

A

V=IR

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13
Q

Increase in decibel by 20

A

Increase in sound level by 100

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14
Q

Coulomb’s law

A

Fe=kq1q2/r^2

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15
Q

Coulomb’s constant/electrostatic constant/k

A

8.99 x 10^9 Nm^2/C^2

1/4(pi)eo

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16
Q

Permittivity of free space/e0

A

8.85 x 10^-12 C^2/Nm^2

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17
Q

Electric field equations

A

E=Fc/q=kQ/r^2

E in N/C or v/

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18
Q

Electric force within an electric field

A

Fe=qE

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19
Q

Electrical potential energy

A

U=kQq/r

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20
Q

Electrical potential

A

V=U/q

In Volts= J/C

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21
Q

Electrical potential without the test charge

A

V=kQ/r

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22
Q

Voltage/Potential Difference

A

DeltaV=Va-Vb=Wab/q

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23
Q

Other equations for electrical potential energy (U)

A

U=q x DeltaV

U=qEd

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24
Q

Dipole electrical potential

A

V=kqdcos/r^2

d=distance between two charges
r= distance between dipole center & a single point

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25
Q

Dipole moment (p)

A

p=qd

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26
Q

Magnitude of the electric field on the perpendicular bisector of the dipole

A

E=1/4(pi)eo x p/r^3

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27
Q

Net torque on a dipole

A

t=pEsin

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28
Q

Electric potential between two plates

A

V=Ed

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29
Q

uo/permitivity of free space

A

4(pi) x 10^-7 Tm/A

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30
Q

Magnetic field on a straight, current carrying wire

A

B=uo(I)/2pi(r)

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31
Q

Magnetic field at the center of a circular loop of wire

A

B=uo(l)/2r

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32
Q

Magnetic force

A

FB=qvBsin

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33
Q

Magnetic force created by a current carrying wire

A

FB=ILBsin

Theta is angle between L& B

34
Q

Electric field between 2 plates

A

E=V/d = Q/eoA

35
Q

Current

A

Q/Delta(t) in amperes (A=C/s)

36
Q

Kirchhoff’s junction rule

A

Iin=Ileaving

37
Q

Kirchhoff’s loop rule

A

V(source)=V(drop)

V is in J/C

38
Q

Resistance equation

A

R=pL/A

in Ohms

39
Q

SI unit of resistivity

A

Ohm meter

40
Q

Ohm’s Law

A

V=IR

41
Q

Actual voltage supplied by a cell

A

V=E(cell) - ir(int

E(cell)= emf of the cell
i=current through cell
rint=internal resistanceP

42
Q

Power equations

A

P= W/t= Delta(E)/t

43
Q

Power of a resistor

A

P= IV=I^2R=V^2/R

44
Q

How is resistance & voltage drop in series treated?

A

Additive

45
Q

How to find voltage drop across resistors?

A

Find current & then use V=IR equation to find voltage drops

46
Q

How are resistance & voltages in parallel treated?

A

All voltages are equal

Resistance is reciprocal added

47
Q

Resistance reduction when n identical resistors are wired in parallel

A

R/n

48
Q

How to find current in parallel circuit

A

Find current through whole circuit & through each resistor using individual resistors

49
Q

Capacitance

A

Q/V

in Farads=C/V

50
Q

Parallel plate capacitance

A

C=eo(A/d)

51
Q

Uniform electric field equation

A

E=V/d

52
Q

Potential energy stored in a capacitor

A

U=1/2CV^2=1/2QV=1/2Q^2/C

53
Q

Capacitance due to a dielectric material

A

C’=kC

54
Q

What happens to capacitators in series

A

Decrease capacitance
Reciprocal addition
Total voltage is sum of all individual voltages

55
Q

What happens to capacitators in parallel?

A

Addition of all capacitators

Voltages all equal in each capacitator to the source

56
Q

Propagation of a wave equation

A

v=f(wavelength)

57
Q

Period

A

1/f

Number of seconds per cycle

58
Q

Angular frequency

A

=2(pi)f=2(pi)/T

59
Q

Speed of light

A

c=3 x 10^8

60
Q

Speed equation

A

v=f(wavelength)

61
Q

Law of refection

A

Angle 1 = Angle 2

62
Q

f for all spherical mirrors

A

f=r/2

63
Q

Relationship of focal length and distances

A

1/f=1/o + 1/i = 2/r

64
Q

Magnification

A

m = -i/o

65
Q

Snell’s law

A

n1sin1=n2sin2

66
Q

Critical angle equation

A

Angle x=sin^-1 (n2/n1)

67
Q

Lensmaker’s equation

A

1/f=(n-1)(1/r1-1/r2)

68
Q

Power

A

P=1/f

in diopters

69
Q

Multiple lens focal lengths

A

1/f=1/f1 + 1/f2 + 1/f3…

70
Q

Equivalent power of multiple lenses

A

P=P1 + P2 + P3…

71
Q

Magnification of multiple lenses

A

m=m1 x m2 x m3

72
Q

Location of dark fringes

A

asin=n(wavelength)

73
Q

Equation for double slit dark fringe position

A

dsin=(n +1/2)(wavelength)

d=distance between 2 slits)

74
Q

Energy of a photon

A

E=hf

h=Planck’s constant (6.626 x 10^-34 Js)
E=energy of a photon

75
Q

Maximum kinetic energy of the ejected electron

A

Kmax=hf-W

W=Work function of the metal

76
Q

Work function

A

Minimum energy required to eject electron

W=hfT

77
Q

Mass defect equation

A

E=mc^2

78
Q

Rate of nuclear decay

A

= -constant (n)

79
Q

Exponential decay

A

n=noe^-(constant) (t)

80
Q

decay constant

A

0.692/half life

MCAT physics & math (9 decks)

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