A capacitor 4,mu F charged to 50, V is connected to another capacitor of 2,mu F charged to 100 ,V with plates of like charges

Q: A capacitor $4\,\mu F$ charged to $50\, V$ is connected to another capacitor of $2\,\mu F$ charged to $100 \,V$ with plates of like charges connected together. The total energy before and after connection in multiples of $({10^{ - 2}}\,J)$ is

a (a) The total energy before connection $ = \frac{1}{2} \times 4 \times {10^{ - 6}} \times {(50)^2} + \frac{1}{2} \times 2 \times {10^{ - 6}} \times {(100)^2}$ $ = 1.5 \times {10^{ - 2}}\,J$ When connected in parallel $4 \times 50 + 2 \times 100 = 6 \times V$ $==>$ $V = \frac{{200}}{3}$ Total energy after connection $ = \frac{1}{2} \times 6 \times {10^{ - 6}} \times {\left( {\frac{{200}}{3}} \right)^2} = 1.33 \times {10^{ - 2}}\,J$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A capacitor $4\,\mu F$ charged to $50\, V$ is connected to another capacitor of $2\,\mu F$ charged to $100 \,V$ with plates of like charges connected together. The total energy before and after connection in multiples of $({10^{ - 2}}\,J)$ is

A$1.5$ and $1.33$
B$1.33$ and $1.5$
C$3.0$ and $2.67$
D$2.67$ and $3.0$

Diffcult

STD 11 Science
NEET
STD 12 - 2. Electric potential and capacitance
Physics

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