JEE PYQ: Capacitance Question 29
Question 29 - 2019 (09 Apr Shift 2)
The parallel combination of two air filled parallel plate capacitors of capacitance C and $n$C is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is:
(1) $\frac{nV}{K+n}$
(2) V
(3) $\frac{V}{K+n}$
(4) $\frac{(n+1)V}{(K+n)}$
Show Answer
Answer: (4)
Solution
$V’ = \frac{CV + (nC)V}{kC + nC} = \frac{(n+1)V}{k + n}$.
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