What is the effective capacitance between points $\mathrm{X}$ and $\mathrm{Y} ?$

What is the effective capacitance between points $\mathrm{X}$ and $\mathrm{Y} ?$
  1. $8 \mu \mathrm{F}$
  2. $9 \mu \mathrm{F}$
  3. $10 \mu \mathrm{F}$
  4. $12 \mu \mathrm{F}$

Solution

By symmetry $\mathrm{C}_{5}=10 \mu \mathrm{F}$. Capacitor between $\mathrm{B}$ and $\mathrm{C}$ can be removed so, now $C_{e q}=\frac{8 \times 8}{8+8}+\frac{8 \times 8}{8+8}=8 \mu \mathrm{F}$

Asked in: JEE Mains - Capacitance - Test 1

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