Four capacitors of equal capacitance have an equivalent capacitance C1 when connected in series and an equivalent capacitance C2 when connected in parallel. The ratio (C1/C2) is:

Question

Four capacitors of equal capacitance have an equivalent capacitance C1 when connected in series and an equivalent capacitance C2 when connected in parallel. The ratio (C1/C2) is: (A) 1/4 (B) 1/16 (C) 1/8 (D) 1/12

Tardigrade Admin · Accepted Answer

Let capacitance of each capacitor is C. In series, equivalent capacitance C1=(C/4) In parallel, equivalent capacitance C2=4 C ∴ (C1/C2)=(1/16)

Q. Four capacitors of equal capacitance have an equivalent capacitance $C_{1}$ when connected in series and an equivalent capacitance $C_{2}$ when connected in parallel. The ratio $\frac{C _{1}}{C _{2}}$ is:

1/4

1/16

1/8

1/12

Let capacitance of each capacitor is $C$ .
In series, equivalent capacitance
$C_{1} = \frac{C}{4}$
In parallel, equivalent capacitance
$C_{2} = 4 C$
$∴ \frac{C _{1}}{C _{2}} = \frac{1}{16}$

Q. Four capacitors of equal capacitance have an equivalent capacitance C1​ when connected in series and an equivalent capacitance C2​ when connected in parallel. The ratio C2​C1​​ is:

1/4

1/16

1/8

1/12

Let capacitance of each capacitor is C. In series, equivalent capacitance C1​=4C​ In parallel, equivalent capacitance C2​=4C ∴C2​C1​​=161​

Q. Four capacitors of equal capacitance have an equivalent capacitance $C_{1}$ when connected in series and an equivalent capacitance $C_{2}$ when connected in parallel. The ratio $\frac{C _{1}}{C _{2}}$ is:

Let capacitance of each capacitor is $C$ .
In series, equivalent capacitance
$C_{1} = \frac{C}{4}$
In parallel, equivalent capacitance
$C_{2} = 4 C$
$∴ \frac{C _{1}}{C _{2}} = \frac{1}{16}$