Question

The total energy stored in the condenser system shown in the figure will be:-

• A. $2\times {10}^{-6}J$
• B. $4\times {10}^{-6}J$
• C. $8\times {10}^{-6}J$
• D. $16\times {10}^{-6}J$

Answer 1

The correct option is C $8\times {10}^{-6}J$

$\begin{array}{c}Capacitors6\mu Fand3\mu Fareconnectedinseries.\\ Equivalentcapaci\tan ce{C}^{\prime }=\frac{6\times 3}{6+3}=2\mu F\\ C^{1}and2\mu Fareconnectedinparallel.\\ Equivalentcapaci\tan ce,C=2+2=4\mu F\\ \therefore Energyofthesystem,E=\frac{1}{2}C{V}^2\\ =\frac{1}{2}\times 4\times 2^2\\ =8\mu J\\ =8\times {10}^{-6}J\\ Hence,optionCisthecorrectanswer.\end{array}$