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Establish the relation between electric field and electric potential at a point. Draw the equipotential surface for an electric field pointing in +Z direction with its magnitude increasing at constant rate along -Z direction

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To establish the relation between electric field (E) and electric potential (V) at a point, we can follow these steps: ### Step 1: Understanding Electric Field and Electric Potential Electric field (E) is defined as the force per unit charge experienced by a positive test charge placed in the field. Electric potential (V), on the other hand, is the work done per unit charge in bringing a test charge from infinity to a point in the field. ### Step 2: Mathematical Relation The relation between electric field and electric potential can be expressed mathematically. The electric field is related to the electric potential by the equation: \[ ...
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Knowledge Check

  • What is not true for equipotential surface for uniform electric field ?

    A
    Equipotential surface is flat
    B
    Equipotential surface is spherical
    C
    Electric lines are perpendicular to equipotential surface
    D
    Work done is zero
  • What is not true for equipotential surface for uniform electric field ?

    A
    Equipotential surface is flat
    B
    Equipotential surface is spherical
    C
    Electric lines are perpendicular to equipotential surface
    D
    Work done is zero
  • The electric field lines coming out of an equipotential surface are

    A
    perpendicular to the surface
    B
    parallel to the surface
    C
    in all directions
    D
    zero
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