FORMULA SHEET
Constants and definitions: ;
; 1 ampere (A) = 1 C/s; 1 volt (V) = 1 J/C; 1 farad (F) = 1
C/V; 1 ohm
= 1 V/A; 1 tesla (T) = 1 N/(A m); 1 weber (Wb) = 1 T m2 = 1 J/A; and 1 henry
(H) = Wb/A = 1 J/A2.
Flux:
Charge: .
Current: .
emf: .
Force:
Coulomb’s: .
Lorentz:
Force on a current (I) carrying wire: .
.
Gauss’ law: .
Gauss’ law for magnetism:
Faraday’s law:
Ampere - Maxwell law:
Ohm’s law: or
.
for
a metal.
Conservation of energy law (Kirchhoff’s loop
rule): around a closed loop.
Conservation
of charge law (Kirchhoff’s junction rule): Charge cannot be created or destroyed.
The current flowing into a junction equals the current flowing out.
Electric
Field:
Electric potential: .
Group of point charges: .
Continuous charge: .
Electric
Potential:
Potential energy of a charge Q: .
Electric field: .
Constant Electric field:
Group of point charges: .
Continuous charge: .
Magnetic Field:
Biot-Savart law: .
Circular motion: ,
, and
.
Hall coefficient:
Work: Work-Energy theorem: .
Conservative force: .
Potential energy of a capacitor: .
Potential energy of an inductor: .
Energy density: .
Power:
Torque: .
Conductor in electrostatic equilibrium: 1. The electric field is zero everywhere. 2.
Excess charge resides on the surface. 3. The electric field is perpendicular to
the surface.
Capacitance: and
.
n capacitors in parallel: .
n capacitors in series: .
RC Circuit:
capacitive time:
charging a capacitor: .
discharging a capacitor: .
Resistance: .
n resistors in series: .
n resistors in parallel: .
power: .
Inductance:
and
.
self-inductance: .
mutual inductance: .
.
n inductors in parallel:
n inductors in series:
RL Circuit:
inductive time
increasing current through the inductor:
decreasing current through the inductor: .
AC
circuits: and
.