Question

Below, three different arrangement of identical capacitors are shown. What is the correct order of total capacitance values for the arrangements, greatest first?

• A. $1,2,3$
• B. $3,2,1$
• C. $3,1,2$
• D. $2,3,1$
• E. $2,1,3$

Answer 1

The correct option is C $3,1,2$

Let the capacitance of each capacitor be $C$.

Case 1 : Capacitance $C_1=C$

Case 2 : Equivalent capacitance of series connection $C_2=\frac{C\times C}{C+C}=\frac{C}{2}$

Case 3 : Equivalent capacitance of parallel connection $C_3=C+C=2C$

$⟹$ $C_3>C_1>C_2$