1. A parallel plate capacitor (C1) having charge Q is connected, … - Vidyadip

Question

A parallel plate capacitor (C₁) having charge Q is connected, to an identical uncharged capacitor C₂ in series. What would be the charge accumulated on the capacitor C₂?
Three identical capacitors each of capacitance 3mF are connected, in tern, in series and in parallel combination to the common source of V volt. Find out the ratio of the energies stored in two configurations.

✓

Answer

Zero.
We have $\text{C}_{series} = \frac{3\mu\text{F}}{3} =1 \mu\text{F}$

Also, $\text{C}_{parallel} =( 3 + 3 +3 ) =9 \mu\text{F}$

Energy stored $ = \frac{1}{2}\text{CV}^{2}$

$\therefore$Energy in series combination $ =\frac{1}{2}1 \times10^{-6}\times\text{V}^{2}$

Energy in parallel combination $ =\frac{1}{2}9 \times10^{-6}\times\text{V}^{2}$

$\therefore$ Ratio = 1:9.

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