In the given figure, the total charge stored in the combination of capacitors is . The value of is _________ . [2023]

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Solution

Q.
In the given figure, the total charge stored in the combination of capacitors is $100 μ C$ . The value of $' x'$ is _________ . [2023]

Ans.
(5)

$Charge on C_{1} is Q_{1} = 2 \times 10 = 20 μ C$ ...(i)

$Charge on C_{2} is Q_{2} = x \times 10 = 10 x μ C$ ...(ii)

$Charge on C_{3} is Q_{3} = 3 \times 10 = 30 μ C$ ...(iii)

$Total charge = 20 + 10 x + 30 = 100$

$\Rightarrow x = 5$

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