^Commonly used results in electricity & magnetism

^Commonly used results in electricity & magnetism

Electricity Magnetism
Source of field Static or moving charges Moving charges
SI units Charge: coulomb (C)Electric field: Newton /coulomb (N/C) Magnetic pole: ampere meter (Am).Magnetic field is tesla (T)
Field lines Discontinuous: Start at a + ve charge & end at equal -ve charge. Continuous: Have no start or end & are closed loops.
Field due to a mono pole
Proportionality constant

(SI units) ke = 1 in cgs units

  in SI unitskm = 1 in cgs units
Force on a monopole
Potential due to a mono pole
Coulomb’s law of two point poles
Screening or shielding Using hollow metallic boxes. Using ferromagnetic boxes.
Gauss’s law
Force exerted by field on charge particles
Trajectories of charged particles in field In electric field:

1.  Straight line if the angle between electric field & velocity of the charges particle is 00 or 1800 &

2.  parabolic if the angle between electric field & velocity of the charges particle is other than 00 & 1800.

In magnetic field:

1.    Straight line if the angle between magnetic field & velocity of the charges particle is 00 or 1800,

2.    circular if the angle between magnetic field & velocity of the charges particle is 900.

3.    helical if the angle between magnetic field & velocity of the charges particle is other than 00, 900 & 1800.

Dipole moment of a dipole of length 2 L
Field on axial line of a dipole
Field on equatorial of a dipole
Field at any point of short dipole
Potential on the axial line of dipole
Potential at any point of short dipole
Force on a dipole placed in a region of uniform field Force on each pole = qE

Net force on dipole = 0

Force on each pole = mB

Net force on dipole = 0

Force on a dipole placed in a non uniform field
Torque acting on dipole placed in a region of uniform field
Condition for equilibrium of dipole placed in a region of uniform field
Potential energy of dipole – field system placed in a region of uniform field
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