This document discusses capacitors connected in parallel and series circuits. When capacitors are in parallel, the equivalent capacitance is the sum of the individual capacitances and the voltage is the same across each capacitor. When capacitors are in series, the equivalent capacitance is calculated by taking the reciprocal of the sum of the reciprocals of the individual capacitances and the charge is the same across each capacitor. An example problem is worked out where three equal-valued capacitors are connected in a combination of parallel and series connections to find the equivalent capacitance of the overall circuit and the charge on one of the capacitors.

1. Capacitance
Tutorial

2. When two capacitor are connected in Parallel, The
equivalent capacitance is given by
C=C1
+ C2
The voltage is same across the both the capacitor
but charge is not and it depends on the
capacitance
Parallel Capacitance Circuits

3. When two capacitor are connected in series , the
equivalent capacitance is given by
1/C=1/C1
+ 1/C2
The charge on the both the capacitor is same but
Voltage is different
Series Capacitance Circuits

4. Find the equivalent capacitance of the circuit?
Find the charge on the capacitor C1?
Given C1=C2=C3=C
Capacitance Question

5. Solution
We need to make of parallel series capacitance formula as
stated in previous slide
The Capacitor C2 and C3 are in parallel , So we can replace
those capacitor by the equivalent capacitance
C23= C2 + C3 =2C

6. Solution Continued
Now C23 and C1 are in series , So we can replace those
capacitor by the equivalent capacitance
Ceq=2C/3
Now total charge in the circuit (Q) =CeqV=2CV/3 .
Now since C1 is in series with the whole circuit, The charge on C1 will be
2CV/3

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