Higher Physics Formulae

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Errors and Uncertainties
Mean = total/N
Random error = (max-min)/N

Kinematics
a = (v-u)/t
v = u + at
s = ut +at2/2
v2 = u2 + 2as
vhor = shor/t
Ek = mv2/2

Dynamics
w = mg
Funbalanced = ma
Ework=Fd
Fs = mgsinq	(Fs = Component of a force acting parallel to a slope.)
P = mv
Pbefore = Pafter		(P = Momentum)
Favg = DP/tc
Favg = (mv-mu)/tc

Properties of Matter
r=m/V
P = F/A
Pfluid = rgh
Ptotal = Pfluid + Patmosphere

T(K) = T(oC) + 273
P1V1 = P2V2
P1/T1 = P2/T2
V1/T1 = V2/T2
P1V1/T1 = P2V2/T2

Electricity
Ek(gain) = qV
qV = mqv2/2
Q = It

Rs = R1 + R2 + R3 + ...
1/Rp = 1/R1 + 1/R2 + 1/R3 + ...	

V = IR
P = IV
P = I2R
P = V2/R
	
I = E/(R+r)
"Lost volts" = Ir
Vtpd = emf - Ir
VR = IR

VR1=[R1/(R1+R2)]xVsupply
R1/R2 = R3/R4	(Balanced Wheatstone Bridge)

AC electricity
f = 1/T
VRMS = Vpeak/SQRT2
IRMS = Ipeak/SQRT2

Capacitance
Q = CV
E = QV/2
E = Q2/2C
E = CV2/2


Analogue Electronics
Inverting Amplifier
   
Rf/R1 = - Vout/Vin 
Gain = Vout/Vin = -Rf/R1

Differential Amplifier

Vouput = (Rf/R1)x(V2-V1)
Equation true when : Rf/R1 = R3/R2

Waves and light

Refractive Index
nglass = sinqair/sinqglass
qcritical = sin-1(1/n)
v = fl
lglass = lair/nglass
vglass = vair/nglass
fair = fglass

Interference Patterns
Double slit
Minama 
first 	minimum:Path difference = 1/2l
second 	minimum:Path difference = 3/2l
third 	minimum:Path difference = 5/2l

Maxima
central maximum:Path difference = zero
first 	maximum:Path difference = l
second 	maximum:Path difference = 2l

Grating Equation
dsinq = nl

Optoelectronics
I = P/A
I1d12 = I2d22
P = E/t
E = hf 

Dosimetry and Radiation
E = Mdefectc2
A = N/t
D = E/m
H = DQ
H/t = (D/t)xQ

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