Electricity & Magnetism Concepts

 

Symbol

Quantity

Description

Formula

Units

FE

Electric Force

the force between 2 charged particles

FE = kq1q2/r2   (Coulomb's Law)

N

E

Electric Field

FE per positive unit charge

E = kq1/r2  = FE/q2

N/C or V/m

φE

Electric Flux

# of field lines that pass through a surface

φE = Q/εo     (Gauss's Law)

Nm2/C

V

Electric Potential

Work done to bring a unit positive test charge from infinity to a point

V = kq/r = Er

V = IR   (Ohm's Law)

V

V

Potential Difference

Work done to bring a 1C charge from one point to another

V = W/q = Es

V

C

Capacitance

C = q/V = κε0A/d

F

R

Resistance

R = V/I

Ω

ρ

Resistivity

a number that tells how much resistance different materials have

ρ = RA/L

Ωm

I

Current

Flow of electrons

I = V/R

A

P

Power

P = IV = I2R = V2/R

W

(Bold overline signifies a vector quantity)

 

 

Unit

Symbol

Measures

Equivalent

Coulomb

C

Charge

Charge of 6.24x1018 electrons

Ampere (Amp)

A

Current = charge/time

1A = 1 C/s

Volt

V

1V = 1 J/C = 1 Nm/C

Ohm

Resistance

1Ω = 1 V/A

Farad

F

Capacitance

1F = 1 C/V

Watt

W

Power

1W = 1 J/s

Constant

Symbol

Measures

Equivalent

Coulomb Constant

k

k = 9x109 Nm2/C2

Permittivity

εo

εo= 8.85x10-12 F/m

 

 

Resistors

Capacitors

In Series

RTotal = R1 + R2 + ...

1/CTotal  = 1/C1 + 1/C2 + ...

In Parallel

1/RTotal  = 1/R1 + 1/R2 + ...

CTotal = C1 + C2 + ...