SI Units of Kinematic and Electromagnetic Quantities PDF

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SI Units of Kinematic and Electromagnetic Quantities

? = Q/V. Coulombs/m3. C/m3. A-s/m3. Electric Potential. V. Volts = N-m/C. V = N-m/C kg-m2/A-s3. Electric Field. E = F/Q = ??V. Volts/m = N/C. V/m = N/C.

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SI Units of Kinematic and Electromagnetic Quantities Quantity Symbol Common Units Units Symbol SI Base Units

Length Meters, m m m

Mass m Kilograms, kg kg kg

Time t Seconds, sec or s s s

Velocity v m/s m/s m/s

Acceleration a m/s

2 m/s 2 m/s 2

Force F = ma = dp/dt Newtons = kg-m/s

N kg-m/s

Momentum p = mv kg-m/s kg-m/s kg-m/s

Angular Momentum L = rp kg-m

2/s = Joule-sec = N-m-s

J-s = N-m-s

kg-m 2 /s

Pressure P = F/A Pascals, Pa = N/m

Pa = N/m

2 kg/m-s 2

Energy, Work E, W Joules = N-m J = N-m kg-m

2 /s 2 (Volume) Energy Density U = E/V Joules/m 3 J/m 3 kg/m-s 2

Power P = dW/dt Watts = Joules/sec J/s kg-m

2 /s 3 Electric Charge Q Coulombs, C C = A-s Ampere-sec Linear Elect. Charge Density = Q/L Coulombs/m C/m A-s/m

Surface Elect. Charge Density = Q/A Coulombs/m

2 C/m 2 A-s/m 2

Volume Elect. Charge Density = Q/V Coulombs/m3

C/m 3 A-s/m 3 Electric Potential V Volts = N-m/C V = N-m/C kg-m 2 /A-s 3 Electric Field E = F/Q = V Volts/m = N/C V/m = N/C kg-m/A-s 3

Electric Displacement D = E Coulombs/m

2 C/m 2 A-s/m 2

Electric Polarization P =

o e

E Coulombs/m

2 C/m 2 A-s/m 2

Electric Flux

E = EA = Q/ o

Volt-m = N-m

2 /C V-m =N-m 2 /C kg-m 3 /A-s 3

Electric Displacement Flux

D = DA = Q Coulombs C = A-s A-s Capacitance C = Q/V Farad = Coulomb/Volt F = C/V A 2 -s 4 /kg-m 2

Electric Permittivity =

o (1+ e ) Farads/m = C 2 /N-m 2

F/m = C/V-m A

2 -s 4 /kg-m 3

Electric Susceptibility

e =K e -1 = / o -1 Dimensionless * *

Electric Line Current I = JA

= K

Amperes, Amps

A = C/s A

Elect. Surface Current Density K Amps/m A/m A/m Elect. Volume Current Density J = nqv Amps/m 2 A/m 2 A/m 2

Magnetic Charge g

m = "qv" Amp-m = C-m/s A-m A-m Magnetic Vector Potential A = "p/Q" Tesla-m = Wb/m = N/A T-m = N/A kg-m/A-s 2

Magnetic Field B = A Teslas = Wb/m

2 = N/A-m T = Wb/m 2 kg/A-s 2

Magnetic Displacement H = 1/

B Amps/m A/m A/m

Magnetization M =

H Amps/m A/m A/m

Magnetic Flux

m = BA = h/e Webers = Tesla-m

2 = N-m/A

Wb = T-m

2 kg-m 2 /A-s 2

Inductance

L = m /I Henrys=Wb/A=T-m 2 /A=N-m/A 2

H = N-m/A

2 kg-m 2 /A 2 -s 2

Magnetic Permeability =

o (1+ m ) Henrys/m =T-m/A = N/A 2

H/m = N/A

2 kg-m/A 2 -s 2

Magnetic Susceptibility

m =K m -1 = / o -1 Dimensionless * *

Resistance R =

c /A = V/I Ohms, =

V/A kg-m

2 /A 2 -s 3

Resistivity

c = 1/ c

Ohm-m, -m -m =V-m/A kg-m

3 /A 2 -s 3

Conductance G = 1/R =

A/ Siemens =

1 = "Mhos" S = A/V A 2 -s 3 /kg-m 2

Conductivity

c = 1/ c

Siemens/m =

1 /m = "Mhos"/m S/m = A/V-m A 2 -s 3 /kg-m 3

Electric Charge e 1.60210

Coulombs C C

Magnetic Charge g 3.29110

Ampere-meters A-m = C-m/s A-m

Speed of Light (in vacuum) c =1/sqrt(

o o ) 2.998108 meters/sec m/s m/s

Elect. Permittivity Free Space

8.8510

Farads/meter F/m = C

2 /N-m 2 A 2 -squotesdbs_dbs31.pdfusesText_37

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[PDF] SI Units of Kinematic and Electromagnetic Quantities

Length Meters, m m m

Mass m Kilograms, kg kg kg

Time t Seconds, sec or s s s

Velocity v m/s m/s m/s

Acceleration a m/s

Force F = ma = dp/dt Newtons = kg-m/s

N kg-m/s

Momentum p = mv kg-m/s kg-m/s kg-m/s

Angular Momentum L = rp kg-m

2/s = Joule-sec = N-m-s

J-s = N-m-s

Pressure P = F/A Pascals, Pa = N/m

Pa = N/m

Energy, Work E, W Joules = N-m J = N-m kg-m

Power P = dW/dt Watts = Joules/sec J/s kg-m

Surface Elect. Charge Density = Q/A Coulombs/m

Volume Elect. Charge Density = Q/V Coulombs/m3

Electric Displacement D = E Coulombs/m

Electric Polarization P =

E Coulombs/m

Electric Flux

Volt-m = N-m

Electric Displacement Flux

Electric Permittivity =

F/m = C/V-m A

Electric Susceptibility

Electric Line Current I = JA

Amperes, Amps

A = C/s A

Magnetic Charge g

Magnetic Field B = A Teslas = Wb/m

Magnetic Displacement H = 1/

B Amps/m A/m A/m

Magnetization M =

H Amps/m A/m A/m

Magnetic Flux

2 = N-m/A

Wb = T-m

Inductance

H = N-m/A

Magnetic Permeability =

H/m = N/A

Magnetic Susceptibility

Resistance R =

V/A kg-m

Resistivity

Ohm-m, -m -m =V-m/A kg-m

Conductance G = 1/R =

A/ Siemens =

Conductivity

Siemens/m =

Electric Charge e 1.60210

Coulombs C C

Magnetic Charge g 3.29110

Ampere-meters A-m = C-m/s A-m

Speed of Light (in vacuum) c =1/sqrt(

Elect. Permittivity Free Space

8.8510

Farads/meter F/m = C