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Useful Formulas for the IGCSE Physical Science Examinations
General Physics
Formula in Symbols ------------------ Formula in Wordsv = d / t ------ speed = total distance / total time
w = m x g ------ weight = mass x acceleration of gravity
a = v / t ------ acceleration = change in speed / change in time
d = m / v -------- density = mass / volume
F = m x a ------- force = mass x acceleration
x = k x F ------- extension = a constant x load
W = F x d ------- work = force x distance
p.e. = m x g x h ------- potential energy = mass x acceleration of gravity x height
k.e. = ½ x m x v2 ------- kinetic energy = ½ x mass x velocity squared
e = Eout / Ein x 100% ------- energy efficiency = energy output / energy input x 100%
E = W -------------- energy used = work done
E = m x c2 ------- energy of a nuclear reaction = mass x speed of light squared
P = E / t ------- power = energy / time
For Specific heat capacity---- q = mCT.
q = heat in Joules
m = mass in grams
C = specific heat capacity
T = Temperature change in Celsius
Physics of Waves
Formula in Symbols ------------------ Formula in Words
c = f x l ------- speed of a wave = frequency x wavelength
i = r ------- angle of incidence = angle of reflection
n = sin i / sin r ------- index of refraction = sine of incident angle / sine of refracted angle
Electricity and Magnetism
Formula in Symbols ------------------ Formula in WordsI = Q / t ------- current = charge / time
R = V / I ------- resistance = potential difference / current
R = k x l / A ------- resistance = a constant x length / cross sectional area
R = R1 + R2 ------- resistances in series add together
1 / R = 1 / R1 + 1 / R2 ------- reciprocals of resistances in parallel add together
I = I1 + I2 ------- currents in parallel add together
Iin = Iout ------- total current into a point = total current out of a point
V = V1 + V2 ------- voltage of source = sum of all voltage drops in a circuit
P = I x V ------- power used in an electric circuit = current x voltage
E = I x V x t ------- energy used in an electric circuit = current x voltage x time
Vp = Np ------- voltage in primary coil = number of turns in primary coil
Vs = Ns voltage in secondary coil number of turns in secondary coil
Vp x Ip = Vs x Is ------- power in primary coil = power in secondary coil (for a perfect transformer)
Geometry
Formula in Symbols ------------------ Formula in Wordsa = s2 ------- area of a square = length of side squared
a = l x w ------- area of a rectangle = length x width
a = ½ x b x h ------- area of a triangle = ½ x base x height
a = p x r2 ------- area of a circle = Pi x radius squared
v = s3 ------- volume of cube = length of side cubed
v = l x w x h ------- volume of cuboid = length x width x height
v = p x r2 x h ------- volume of cylinder = Pi x radius squared x height
You should be able to solve equations with three variables for any variable.
For example, if a = b x c, then b = a / c and c = a / b.
Formulas in bold are for core. Other formulas are extended, but they also help for many core questions.
NOW THE UNITS !!!!!
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