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2. Electric potential and capacitance — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics2. Electric potential and capacitance1 Mark
MCQ
A solid sphere of radius $R$ is charged uniformly. At what distance from its surface is the electrostatic potential half of the potential at the centre?
  • A
    $R$
  • B
    $R/2$
  • ✓
    $R/3$
  • D
    $2R$
✓

Answer

Correct option: C.
$R/3$
c
Potential at the center of sphere is $V_{c}=\frac{3}{2} \frac{k Q}{R}$

Potential at some distance $\times$ from center $=\frac{K Q}{x}$

$\frac{k Q}{x}=\frac{1}{2}\left(\frac{3}{2} \frac{k Q}{R}\right)$ or $x=4 R / 3$

Distance from surface is $x-R=R / 3$

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