A parallel combination of two capacitors of capacities ' 2C ' and ' C… | MHT CET 2023 (9 May, Shift 2)

Q43MHT CET 2023 · 9 MAY · SHIFT 2Medium

Combination of Capacitors

A parallel combination of two capacitors of capacities ' $2C$ ' and ' $C$ ' is connected across $5\text{ V}$ battery. When they are fully charged, the charges and energies stored in them be ' $Q_1$ ', ' $Q_2$ ' and ' $E_1$ ', ' $E_2$ ' respectively. Then $\frac{E_1-E_2}{Q_1-Q_2}$ in $\text{J/C}$ is (capacity is in Farad, charge in Coulomb and energy in J)

Show answer and solution

Answer: (c)

Same $V = 5\ \text{V}$ : $Q_1 = 10C$ , $Q_2 = 5C$ .
$E_1 = \frac{1}{2}(2C)(25) = 25C$ , $E_2 = \frac{1}{2}C(25) = 12.5C$ .
$\frac{E_1 - E_2}{Q_1 - Q_2} = \frac{12.5C}{5C} = 2.5 = \frac{5}{2}\ \text{J/C}$ .
So the answer is (c) $\frac{5}{2}$ .

Report a mistake

More questions on Combination of Capacitors

The ratio of potential difference that must be applied across parallel and series…MHT CET 2023 (9 May, Shift 1)
In the given figure, the equivalent capacitance between points A and B isMHT CET 2023 (13 May, Shift 2)
In the given capacitive network the resultant capacitance between point A and B isMHT CET 2023 (12 May, Shift 1)
The equivalent capacity between terminal A and B isMHT CET 2023 (12 May, Shift 1)
The equivalent capacitance of the arrangement shown in figure is:NEET 2023
The equivalent capacitance of the system shown in the following circuit is:NEET 2023
The equivalent capacitance of the combination shown is:JEE Main 2023 (10 Apr, Shift 1)
In the given figure the total charge stored in the combination of capacitors is 100. The…JEE Main 2023 (15 Apr, Shift 1)

Combination of Capacitors question from MHT CET 2023 (9 May, Shift 2)

More questions on Combination of Capacitors