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PAT Oxford > PAT Equations > Flashcards

PAT Equations Flashcards

1
Q

Arithmetic series sum
Sn=

A

Sn = (n(2a+(n-1)d)/2a

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2
Q

Geometric series sum
Sn=

A

Sn = a(1-r^n)/(1-r)

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3
Q

Sum to infinity S=
What conditions is this true for?

A

S = a/(1-r)
Geometric series that converges (-1<r<1)

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4
Q

What is the formula for an even function?
Simplifying in integration top tips?

A

Even function:
f(x)=f(-x)
Simplifying, multiply from 0 to a by two if the interval is equal either side of the y axis

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5
Q

What is the formula for an odd function?
Simplifying in integration top tips?

A

Odd function:
f(-x)=-f(x)
Simplifying, it will be zero if the interval is equal either side of the y axis

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6
Q

Moment=?

A

Force x perpendicular distance from line of action of force to point of rotation/axis

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7
Q

Momentum=
Units?

A

p=mv
kgm/s

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8
Q

(related to momentum)
F=?

A

F=change in momentum/time

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9
Q

What is an impulse?
Equation?
Units?

A

Change in momentum
F x (change in time)
Ns

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10
Q

W=?
What about at an angle of x?

A

W=Fs
W=Fscosx

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11
Q

(Springs)
F=?

A

F=kx

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12
Q

For springs in parallel:
What happens to the spring constant?

A

kt=k1+k2+…
(It adds up, gets bigger)

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13
Q

For springs in series:
What happens to the spring constant?

A

1/kt = 1/k1 + 1/k2 +…
(It gets smaller)

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14
Q

For springs in parallel:
What happens to extension?

A

It gets smaller

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15
Q

For springs in series:
What happens to extension?

A

It gets bigger

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16
Q

(For springs)
Ep = ?

A

Ep= 1/2 Fx and F=kx
So…
Ep= 1/2 kx^2

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17
Q

frequency= ?

A

1/T (time period)

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18
Q

Constructive interference:

A

nλ

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19
Q

Destructive interference:

A

(n+1/2)λ

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20
Q

Double slit:

A

w= (λD)/s

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21
Q

Single slit:

A

dsinx = nλ

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22
Q

Snells law:

A

n1sinx1 = n2sinx2

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23
Q

n (refractive index) =?

A

n =c(speed of light in vacuum) /cs (speed of light in substance)

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24
Q

Critical angle?

A

sin xc = n2/n1 where n2>n1

25
Q

Angular frequency =

A

w=2 pi f

26
Q

Circular motion:
a = ?

A

a=v^2/r and a=w^2r

27
Q

Circular motion:
F= ?

A

F=(mv^2)/r and F=mw^2r

28
Q

Circular motion:
v=?

A

v=wr

29
Q

SHM:
x=?

A

x=Acos(wt)

30
Q

SHM:
a=?

A

a=-w^2x

31
Q

SHM:
vmax = ?
amax= ?

A

vmax= wA
amax= w^2 A

32
Q

SHM:
Pendulum T=?

A

T= 2 pi sqrt(L/g)

33
Q

SHM:
Mass spring system=?

A

T= 2 pi sqrt(m/k)

34
Q

Energy of accelerated electron beam = ?
Velocity of accelerated electron = ?

A

Ek = 2ev
v= sqrt(2ev/m)

35
Q

Capacitance:
C=?

A

C=Q/V
or
C=(ErE0A)/d

36
Q

Capacitors in parallel:

A

CT=C1+C2+…

37
Q

Capacitors in series:

A

1/CT = 1/C1 + 1/C2 + …

38
Q

Capacitance:
W=?

A

W=1/2 QV
W= 1/2 (Q^2/C)
W=1/2 CV^2

39
Q

For a charging capacitor:
I=?
V=?

A

I=I0 e^(-t/RC)
V= V0 (1-e^(-t/RC))
(Q like V)

40
Q

For a discharging capacitor:
I=?
V=?
R=?

A

All the same:
X=X0 e^(-t/RC)

41
Q

Electricity:
V=?

A

V=IR

42
Q

Electricity:
EMF =

A

EMF = E/Q

43
Q

Electricity:
W=?

A

W= QV

44
Q

Electricity:
Power equations

A

P=IV
P=E/t
P=I^2R
P=V^2/R
E=Itv

45
Q

Electricity:
I in = ?

A

I in = I out

46
Q

Electricity:
EMF =?

A

EMF = total voltage
EMF = I (R+r)

47
Q

Electricity:
Resistors in parallel

A

1/RT = 1/R1 + 1/R2 + ..

48
Q

Electricity;
Resistors in series

A

RT = R1 + R2 + …

49
Q

Electricity:
Resistivity =

A

p = RA/L

50
Q

Gravitational fields:
F=?

A

F=GMm/r^2

51
Q

Gravitational field strength g=?

A

g= F/m
g= -GM/r^2

52
Q

Gravitational potential =?

A

Vg = -GM/r

53
Q

Gravitational potential energy =?

A

E = -GMm/r

54
Q

Kepler’s third law

A

T proportional to r^3 where T is an orbital period

55
Q

Electric fields:
E =?

A

E = F/Q
E=V/d

56
Q

Coulomb’s law

A

F= (1/4piE0)(Qq/r^2)

57
Q

Electric Potential

A

E=Q/(4piE0r^2)

58
Q

Electric potential energy

A

E= Qq/(4piE0r)

59
Q

Transformers equation

A

Is/Ip = Vp/Vs = Np/Ns

PAT Oxford (5 decks)

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