Equation Summary for Electric Fields

 
For All Force Fields
Units
Force

F=eq

learn 2nd >

N
Electric Field Strength

e=F/q

learn 2nd >

N/C
Work (electric potential energy)

W=EE=qDV

learn 5th>

J
Electric Potential

DV=EP/q

(by definition)

learn 5th>

V

Uniform Electric Fields

see note

Point Charge Electric Fields
Force

see above for all force fields

F=kq1q2/r**2

learn 1st >

N
Electric Field Strength

e=V/d

learn 5th>

e=kq/r**2

learn 3rd >

N/C
Work (electric potential energy)
W=DEE =eqd

learn 4th >

EE=kq1q2/r

learn 6th>

J
Electric Potential

V=ed

learn 5th>

V=kq/r

learn 6th>

V
note: Although these equations are stated to be true for uniform fields they can be true for any field if the limit of the variables is infinitely small. For example E=V/d could be expressed in any field as e=DV/Dd where D - "delta" means change in. In this example we would say that the electric field strength is the gradient of the potential.

Variable Definitions

F - Force (N)

q - Electrical Charge (C)

e- Electric Field strength (N/C)

r - radius (m)

W - work (J)

EE - Electrical Potential Energy (J)

V - Electrical Potential (V)

d - distance (m)

comparison to gravitational fields

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