Page 115 - MATLAB an introduction with applications

100 ——— MATLAB: An Introduction with Applications

This is shown in Fig. 2.5.

i C
+ –
V c
Fig. 2.5 Capacitor
The energy stored in a capacitor is given by
1
E = CV 2
2
The voltage drop across capacitor is given by
q ⌠ i
V c = =  dt
C  ⌡ C
Capacitors in Series:
Referring to Fig. 2.6 (a) we have
CC
C = 12
eq
C 1 + C 2
For n capacitors
1 = 1 + 1 + ... + 1
C eq C 1 C 2 C n

Capacitors in Parallel:
For capacitors in parallel (see Fig. 2.6 (b))
C eq = C 1 + C 2
C 1

C 1

C 2

(a) Capacitors in series (b) Capacitors in parallel
Fig. 2.6 Capacitor

2.2 ELECTRICAL CIRCUITS

In this section, we apply Ohm’s law to series and parallel circuits to determine the combined resistance of
the given circuit.
Series Circuits: The combined resistance of series-connected resistors of a simple series circuit is given
by the sum of the individual resistances. The voltage between points A and B of the simple series circuit
shown in Fig. 2.7 is given by

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