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
.