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Electrostatic Potential and Capacitance — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsElectrostatic Potential and Capacitance1 Mark
MCQ
What is not true of equipotential surface? 
  • A
    The $PD$ between any two points on the surface is zero.
  • B
    The electric field is always perpendicular to the surface.
  • ✓
    Equipotential surfaces are always spherical.
  • D
    No work is done in moving a charge along the surface.
✓

Answer

Correct option: C.
Equipotential surfaces are always spherical.

Equipotential surface
$\rightarrow P.D$ difference between two points on the surface is zero always since potential is same everywhere in equipotential surface.
$\rightarrow $ The $EF$ is always perpendicular to the surface because there is no potential gradient along any direction parallel to the surface $P$ so no $EF$ parallel to the surface
$\rightarrow $ Equipotential surface can have any shape not just sphere.
$\rightarrow $ No work is done in moving a charge along the surface, because potential difference is zero.

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