Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits
Resistors in Series
Electrical Circuits
If the resistors are connected end to end the combination is said to be series. The voltage source is connected between the free ends.
RESISTORS
IN SERIES
When
resistors are connected as in fig 1.12 shows the series combination.
If
the resistors are connected end to end the combination is said to be series.
The voltage source is connected between the free ends.
Here,
there is only one closed loop. Only one current flows (ie) the source current
flows through all the elements (ie) current is same through all the resistors
but voltage is different. Each resistor has a voltage drop across it is given
by ohms law.
V1
= IR1, V2 = IR2 and V3 = IR3
The
total drop
V
= V1 + V2 + V3
V
= IR1 + IR2+ IR3
V
= I(R1 + R2 + R3)
R
= R1 + R2 + R3
Fig.
1.13 shows the equivalent circuit of fig 1.12. Thus the circuit behaves as if a
single resistor R equal to R1 + R2 + R3 is connected across the battery of V
volts.
The
power dissipated in R1 is
Similarly
Pppeeeee
Total
power, P = P1 + P2 + P3
=
I2R1 + I2R2 + I2R3
P
= I2 (R1 + R2 + R3)
In a series circuit:
(i)
The same current flows through all the resistances.
(ii)
For each resistance, there will be a voltage drop according to ohms law.
(iii)
The sum of the voltage drops will be equal to the applied voltage.
Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : Electrical Circuits - Resistors in Series
Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits
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