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: .

 

Newton’s law of acceleration: .

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 .