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EMT Formula Sheet MSc Level

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Brijmohan
Banaras Hindu University (BHU), Varanasi
PhD Condensed matter Physics
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fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES ELECROMAGNETIC THEORY FORMULA SHEET CONTENTS PART-A (CORE) 1. Electrostatics ..... (5-17) 1.1 Coulomb s Law and Superposition Principle .................................................. (5) 1.1.1 Electric field 1.2 Gauss s law ..................................................................................................... (6) 1.2.1 Field lines and Electric flux 1.2.2 Applications 1.3 Electric Potential ............................................................................................. (7) 1.3.1 Curl of Electric field 1.3.2 Potential of localized charges 1.4 Laplace s and Poisson equations .................................................................... (8) 1.5 Electrostatic boundary condition .................................................................... (8) 1.6 Work and Energy in electrostatics .................................................................. (9) 1.6.1 The energy of point charge distribution 1.6.2 Energy of continuous charge distribution 1.7 Basic properties Conductors ........................................................................ (10) 1.8 Multiple Expansions ..................................................................................... (11) 1.8.1 The Electric Potential and Field of a Dipole 1.8.2 Approximate potential at large distances 1.9 Polarization ................................................................................................. (13) 1.9.1 The Field of a polarized Object (Bound Charges) 1.10 The Electric Displacement............................................................................. (13-14) 1.10.1 Gauss Law in the Presence of Dielectrics 1.10.2 Linear Dielectrics (Susceptibility, Permittivity, Dielectric Constant) 1.10.3 Boundary Condition 1.10.4 Energy in dielectric system Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 1

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