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Question: Answered & Verified by Expert
The potential to which a conductor is raised, depends on
PhysicsElectrostaticsCOMEDKCOMEDK 2017
Options:
  • A the amount of charge
  • B geometry and size of the conductor
  • C Both (a) and (b)
  • D None of the above
Solution:
2252 Upvotes Verified Answer
The correct answer is: Both (a) and (b)
When we give charge to a conductor, then its potential increases.
Potential, $V=\frac{\text { Charge }(Q)}{\text { Capacitance }(C)}$
$\Rightarrow \quad V=\frac{Q}{\varepsilon_{0} \frac{A}{d}} \quad\left[\because C=\frac{\varepsilon_{0} A}{d}\right]$
$\Rightarrow \quad V=\frac{Q d}{\varepsilon_{0} A}$
Hence, $V$ also depends on $d$ and $A$. Thus, potential of conductor depends on the amount of charge, area or geometry and size of the conductor.

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