Question 298: Electrostatics & Capacitance

Question

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :

Accepted Answer

Given, C
1
= C
2
= C
When both capacitors are connected in series, their equivalent capacitance will be
$${1 \over {{C_s}}} = {1 \over C} + {1 \over C} = {2 \over C}$$
$$ \Rightarrow {C_s} = {C \over 2}$$
When both capacitors are connected in parallel, their equivalent capacitance will be
C
p
= C + C = 2C
$$	herefore$$ The ratio of equivalent capacitance in series and parallel combination is
$${{{C_s}} \over {{C_p}}} = {{C/2} \over {2C}} = {1 \over 4}$$
$$	herefore$$ C
s
: C
p
= 1 : 4

Answer

4 : 1

Answer

1 : 2

Answer

2 : 1

Answer

1 : 4

Electrostatics & Capacitance

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :

Choose the correct answer: