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Physics – Trinity Valley School
Dr. Mitch Hoselton
Physics: An Incremental Development, John H. Saxon, Jr.
Page 1
6/27/2003
Units in Electricity
Resistance --
R=ρxL/A
Resistance = Resistivity x Length / Cross-sectional area
ohms = ohm·meters x meters / meters2
Ω = Ω·m x m / m2 = V·m / A x m / m2
Joule·Second/Coulomb2 = [Joule·Second/Coulomb2]·m x meters / meters2
= Volt·meter /Ampere x meters / meters2
J·s / C2 = [J·s·m / C2]·m x m / m2 = [J/C]·m/[C/s] x m / m2
Physics – Trinity Valley School
Dr. Mitch Hoselton
Physics: An Incremental Development, John H. Saxon, Jr.
Ohm’s Law --
Page 2
6/27/2003
V=IxR
Voltage change across a resistor in a circuit = Current x Resistance
volts = amperes x ohms
V=AxΩ
Joules/Coulomb = Coulomb/second x Joule·Second/Coulomb2
J / C = C / s x J·s / C2
Note: J·s / C2 should be viewed as [J / C] / [C / s] = volts / amperes
Charge on a capacitor --
Q=CxV
Charge = Capacitance x Voltage
coulombs = coulombs/volt x volts
C = C/V x V
coulombs = coulomb / (joules/coulomb) x (joules/coulomb)
C = C / (J/C) x (J/C)
Electric Power --
PElec = I V = I2 R = V2 / R
Power = Current x Voltage = Current2 x Resistance = Voltage2 / Resistance
Watts = amperes x volts
W=AxV
= amperes2 x ohms
= voltage2 / ohms
= A2 x Ω
= V2 / Ω
joules/second = coulombs/second x joules/coulomb
= coulombs2/second2 x joule·second/coulomb2
= [joules2/coulomb2] / [joule·second/coulomb2]
J/s = C/s x J/C
= (C/s)2 x J·s / C2
= (J/C)2 / [J·s / C2]
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