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Q. The total electrostatic energy stored in both the capacitors is :Physics Question Image

UPSEEUPSEE 2017

Solution:

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According to circuit diagram, capacitors are connected in series combination.
So, equivalent capacitance $\left(C_{eq}\right)=\frac{3 \times 6}{3+6}$
$=\frac{18}{9}=2 \,\mu F$
We know that,
Total electrostatic energy $(U)=\frac{1}{2} C_{e q} V^{2}$
$=\frac{1}{2} \times 2 \times(-3)^{2}$
$=9\, \mu J$