Question

Above, three arrangements 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

Answer: (C)

3,1,2

Let the capacitance of each capacitor be $C$.

Thus capacitance in case 1 $C_1=C$

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

Case 3 ; Equivalent capacitance in parallel combination $C_3=C+C=2C$

$⟹$ $C_3>C_1>C_2$

Hence correct answer is option C.