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STD 12 - 2. Electric potential and capacitance — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 2. Electric potential and capacitance4 Marks
MCQ
Three plates of common surface area $A$ are connected as shown. The effective capacitance will be
  • A
    $\frac{{{\varepsilon _0}A}}{d}$
  • B
    $\frac{{3{\varepsilon _0}A}}{d}$
  • C
    $\frac{3}{2}\frac{{{\varepsilon _0}A}}{d}$
  • ✓
    $\frac{{2{\varepsilon _0}A}}{d}$
✓

Answer

Correct option: D.
$\frac{{2{\varepsilon _0}A}}{d}$
d
(d) The given circuit is equivalent to parallel combination of two identical capacitors, each having capacitance $C = \frac{{{\varepsilon _0}A}}{d}$. Hence ${C_{eq}} = 2C = \frac{{2{\varepsilon _0}A}}{d}$

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