Q146 / 160 · AP EAMCET 2024 (22 May Shift 1) · Physics

Eight capacitors each of capacity $2 \mu \mathrm{~F}$ are arranged as shown in figure. The effective capacitance between $A$ and $B$ is Figure

  • Correct answer
    A
    $10 \mu \mathrm{~F}$
  • B
    $12 \mu \mathrm{~F}$
  • C
    $16 \mu \mathrm{~F}$
  • D
    $4 \mu \mathrm{~F}$

Solution

The effective capacitance between A and B is $\begin{aligned} & \mathrm{C}_{\mathrm{AB}}=\frac{\mathrm{C}}{2}+2 \mathrm{C}+2 \mathrm{C}+\frac{\mathrm{C}}{2}=5 \mathrm{C} \\ & =5 \times 2=10 \mu \mathrm{~F} \end{aligned}$

Hence, the correct answer is option: 'A'.

Relevant Questions