In the circuit shown, charge on the

Question:

In the circuit shown, charge on the $5 \mu \mathrm{F}$ capacitor is :

  1. $5.45 \mu \mathrm{C}$

  2. $16.36 \mu \mathrm{C}$

  3. $10.90 \mu \mathrm{C}$

  4. $18.00 \mu \mathrm{C}$


Correct Option: 2,

Solution:

Now, using junction analysis

We can say, $\quad q_{1}+q_{2}+q_{3}=0$

$2(x-6)+4(x-6)+5(x)=0$

$\mathrm{x}=\frac{36}{11} \quad \mathrm{q}_{3}=\frac{36(5)}{11}=\frac{180}{11}$

$\mathrm{q}_{3}=16.36 \mu \mathrm{C}$

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