Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits

Grouping of Capacitors

with Solved Example Problems | Electrical Circuits

Two capacitances C1 and C2 are connected in series across voltage V. Let C is the equivalent capacitance and current is I.

GROUPING OF CAPACITORS

Two capacitances C1 and C2 are connected in series across voltage V. Let C is the equivalent capacitance and current is I as shown in fig 1.20


Here the applied voltage is the summation of the individual voltage drops across C1 and C2.

V = drop across C1 + drop across C2


If the capacitances C1 and C2 are connected in parallel i1 and i2 are branch currents, the total current I as shown in fig 1.21.


Total current i = i1 + i2


C=C1 + C2

Example: 14

Two capacitances of 2μF are connected in series. What is the equivalent capacitance?


Example: 15

Find the equivalent capacitance across A - B as shown in fig.


The equivalent capacitance of C2 and C3 is


Ceq1 is parallel with the capacitance C1

Ceq2 = C1 +Ceql

= 2 + 1 = 3μF

Ceq2 and C4 are connected in series.


Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : with Solved Example Problems | Electrical Circuits - Grouping of Capacitors