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**APPENDIX – List of Formulas
**

**Trigonometry identities
**cosec2*A *=1+cot2*A
*

1/tan *A* = cot *A *1/cosec *A = *sin *A *1/sec *A *= cos *A
*

**Integrals
**

**Integrals involving
**

(for a > 0)

**Indefinite integrals
**

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**Coordinates Transformation
**

**Cartesian → Cylindrical Cylindrical → Cartesian
**

**Cartesian → Spherical Spherical → Cartesian
**

**Differential Length, Area and Volume
**Length Area Volume

Cartesian Cylindrical Spherical

**Vector derivatives
**

**Cartesian
**

**Cylindrical **

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**Spherical
**

**CONSTANTS
**Free space permittivity F/m
Free space permeability H/m
Free space intrinsic Ω
Charge of an electron C

**ELECTROSTATICS
**Coulomb’s law ,

, , Electric field intensity (point charge)

(infinite line)

(infinite sheet) Electric flux density (free space) Electric flux Gauss’ law Maxwell’s equations , Work Electric potential (point charge)

Conduction current density , Laplace’s equation Poisson’s equation Resistance and capacitance ,

**MAGNETOSTATICS
**

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**

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Biot-Savart’s law , , Magnetic field intensity (infinite line)

(infinite sheet) Ampere’s circuit law Magnetic flux density (free space) Magnetic flux , Maxwell’s equations , Magnetic vector potential , ,

Magnetic force , , Faraday’s law ,

Ohm’s law ,

**Generalized forms of Maxwell’s equations
**

Differential form Integral form Remarks Gauss’ law

Faraday’s law Ampere’s circuit law

**CONFIDENTIAL BEE/BEC/BEP/1415I/BEE3113
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