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Prove that a closed equipotenitial surfa...

Prove that a closed equipotenitial surface with no charge within itself must enclose an equipotential volume.

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To prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Equipotential Surfaces**: - An equipotential surface is defined as a surface where the electric potential is the same at every point. 2. **Consider a Closed Equipotential Surface**: ...
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Nature of equipotential surface for a point charge is

(i) Two isolated metal spheres A and B have radii R and 2R respectively and same charge q. Find which of the two spheres have (a) greater capacitance (b) greater energy density just outside the surface of the spheres. (ii) (a) Show that the equipotential surfaces are closed together in the regions of strong field and far apart in the region of weak field. Draw equipotential surfaces for an electric dipole. (b) Concentric equipotential surfaces due to a charged body placed at the centre are shown. Identify the polarity of the charge and draw the electric field lines due to it.

Knowledge Check

  • Assertion: For a point charge concentric spheres centered at a location of the charge are equipotential surfaces. Reason : An equipotential surface is a surface over which potential has zero value.

    A
    If both assertion and reason are ture and reason is the correct explanation of assertion.
    B
    If both assertin and reason are ture but reason is not the correct explanation of assertion .
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.

    • Similar Questions

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    Assertion (A) A spherical equipotential surface is not possible for a point charge. Reason (R ) A spherical equipotential surface is possible inside a spherical capacitor.

    What is the geometrical shape of equipotential surface due to a single isolated charge ?

    What is the geometrical shape of equipotential surfaces due to a single isolated charge ?

    Figure shows sone equipotential surfaces produce by some charges. At which point, the value of electric field is greatest ?

    Three equal charges are placed at the corners of an equilateral triangle. Which of the graph below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graph have the same scale).

    Define an equipotential surface. Draw equipotential surfaces : (i) in the case of single point charge and (ii) in a constant electric field in Z -direction. Why the equpotential surfaces about a single charge are not equidistant ? (iii) Can electric field exist tangential to an equipotential surface ? Given reason.

    If a unit positive charge is taken from one point to another over an equipotential surface ,then

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