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Explain electric field and also electric field is point charge.

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Suppose, charge Q is placed at origin .O. in free space. If another charge q is placed distance r at point P (OP =r), then Coulomb force acts on q.
`vecF = 1/(pi epsilon_(0)).(Qq)/r^(2)hatr`
If Q = 1C, then force acting on unit charge is called electric field E.
`therefore vecF/q = 1/(4pi epsilon_(0)).Q/r^(2) hatr`
`therefore vecE = 1/(4pi epsilon_(0)).Q/r^(2)hatr` or `E = (kQ)/r^(2)`
Definition of electric field : The region around the charge in which the effect of electric charge is prevailing is called the electric field of the charge.
Electric field `vecE` is also called electric fielt intensity. Force acting on charge q of position vector `vecr` is `vecF(vecr) =qvecE(vecr)`
Electric field `vecE` is also called electric field intensity.
Definition of Electric field : .The force acting on a unit positive charge at a given point in an electric field of a point charge of the system at charge is called the electric field or intensity of electric field `vecE` at that point.
SI unit of electric field intensity is `NC^(-1)` or `Vm^(-1)` and dimensional formula is `[M^(1)L^(1) T^(-3) A^(-1)]`
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Knowledge Check

  • In electric dipole is placed in an electric field of a point charge, then........

    A
    (A) the resultant force acting on the dipole is always zero.
    B
    (B) the resultant force acting on the dipole may be zero.
    C
    (c) torque acting on it may be zero.
    D
    (D) torque acting on it is always zero.
  • In a certain region, the electric potential is given by the formula V(x ,y, z) = 6xy - y + 2yz Find the components of electric field and the vector electric field at point (1, 1, 0) in this field. Find the vector of electric at (1, 1, 0).

    A
    `-(6hati+9hatj+hatk)`
    B
    `-(3hati+5hatj+3hatk)`
    C
    `-(6hati+5hatj+2hatk)`
    D
    `-(2hati+3hatj+hatk)`
  • An electric dipole is placed in an uniform electric field of a point charge, then ........

    A
    the resultant force acting on the dipole is always zero.
    B
    the resultant force acting on the dipole may be zero.
    C
    torque acting on it may be zero.
    D
    torque acting on it is always zero.
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