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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 parallel plate capacitor with air as medium between the plates has a capacitance of $10\,\mu F$. The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant ${k_1} = 2$and ${k_2} = 4$. The capacitance of the system will now be.......$\mu F$
  • A
    $10$
  • B
    $20$
  • ✓
    $30$
  • D
    $40$
✓

Answer

Correct option: C.
$30$
c
(c) ${C_R} = {C_1} + {C_2} = \frac{{{k_1}{\varepsilon _0}{A_1}}}{d} + \frac{{{k_2}{\varepsilon _0}{A_2}}}{d}$
$ = \frac{{2 \times {\varepsilon _0}\frac{A}{2}}}{d} + \frac{{4 \times {\varepsilon _0}\frac{A}{2}}}{d}$$ = 2 \times \frac{{10}}{2} + 4 \times \frac{{10}}{2} = 30\,\mu F$

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