-: Capacitors in Series and Parallel Combinations :-
• Capacitors
are
one of the standard components in electronic
and electrical circuits. However, complicated combinations of ca
pacitors mostly occur in practical circuits.
and electrical circuits. However, complicated combinations of ca
pacitors mostly occur in practical circuits.
• It
is, therefore, useful to have a set of rules for finding
the equivalent capacitance of some general capacitors
arrangement.
the equivalent capacitance of some general capacitors
arrangement.
• The
equivalent capacitance of any complicated arrangement
can be determined by the repeated application of two simple
rules and these rules are related to capacitors connected in
series and in parallel.
can be determined by the repeated application of two simple
rules and these rules are related to capacitors connected in
series and in parallel.
Capacitors in Series:-
• Capacitors
are said to be connected in series, when they
are effectively daisy chained together in a single line.
are effectively daisy chained together in a single line.
• Consider
two capacitors connected in series: i.e. in
a line
such that the positive plate of one is attached to the negative
plate of the other as shown in the fig. above.
such that the positive plate of one is attached to the negative
plate of the other as shown in the fig. above.
• In
fact, let us suppose that the positive plate of capacitor 1
is connected to the input wire, the negative plate of capacitor 1
is connected to the positive plate of capacitor 2, and the negative
plate of capacitor 2 is connected to the output wire.
is connected to the input wire, the negative plate of capacitor 1
is connected to the positive plate of capacitor 2, and the negative
plate of capacitor 2 is connected to the output wire.
• Now
the question arises, what is the equivalent capacitance
between the input and output wires ?
between the input and output wires ?
• In
this connection, it is important to realize that the charge Q
stored in the two capacitors is same.
stored in the two capacitors is same.
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