Gaussian surface To find electric field due to a charge configuration using Gauss’s law we draw an imaginary closed surface around that charged distribution. Gaussian surfaces are normal to electric lines of & symmetric to the charge enclosed such that electric field at every point of the Gaussian surface due to that charged distribution is […]
Gauss’s law 1. According to Gauss’s law the electric flux through any arbitrary closed surface in a medium is equal to the total charge enclosed by the that surface divided by the permittivity of that medium. i.e. 2. If medium is air or vacuum, then 3. Gauss’s law is based on the inverse square dependence […]
Electric flux 1. Electric flux (ΦE) linked with a surface (flat or curved) gives us an idea of the total number of electric field lines passing normally through that surface. 2. Electric flux is defined as the surface integral of the electric field inked with that surface i.e. Here θ is the angle between electric […]
For uniformly charged semi ring For a ring α & Β → 900 & E becomes
For infinite line charge Both α & β will approach to 900 & E becomes
Finite line charge The above result is valid even if the wire is bent to form an arc as shown.
Uniformly charged ring of radius R 1. Charge on a circular ring of radius R & uniform linear charge density λ is, Q = λ 2 πR 2. Electric field on axis at P, 3. Electric field at centre C = 0 4. 5. Variation of elec. field vector with distance 6. 7.
*Average value of a quantity If a quantity y varies with x, then its average value in the interval x e [a, b] is defined as, Average value for one complete cycle of sinθ & cosθ is zero. of sin2 θ & cos2θ is half.
Electric dipole in uniform electric field Consider an electric dipole in a region of uniform electric field 1. Net force on the dipole for any position is zero. 2. Torque acting on the dipole is . 3. Torque acts except for the positions when the dipole moment vector & electric field vector are collinear. 4. […]
^Standard integrals
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