In series connection elements the
current in every element is same but voltage is different.
Resistance in series:
A series circuit is one in which several
resistances are connected one after the other such connection is also called
end connection (or)cascade connection(or)series connection.
There is only one path for the flow of current.
Consider the resistances as in figure. The resistance R1,R2 and R3
are said to be in series. The combination is connected across a source
of voltage 'V' volts. Naturally the current flowing through all of them is same
indicated as 'i' ampere.
Let V1,V2 and
V3 be the voltages across
the terminals of resistances R1,R2 and R3 respectively.
V=
V1+V2+V3
iR=iR1+iR2+iR3 (i=i1=i2=i3)
R=R1+R2+R3
·
When 'n' resistances are connected in series
then
R=
R1+R2+R3+.................+Rn
Inductance in series:
Consider
the figure shows three inductance's L1,L2and L3 are connected in series the
current flowing through inductance's in 'i' ampere. While voltage developed
across inductance's L1,L2 and L3 are VL1,VL2 and VL3 respectively.
VL=VL1+VL2+VL3
But we know V=L*(di/dt)
L*(di/dt)=L1 *(di/dt)+L2*(di/dt)+L3*(di/dt)
L=L1+L2+L3
·
When 'n' inductance's are connected in series
them,
L=L1+L2+L3+............+Ln
Capacitance in series:
Consider the figure shows three capacitors C1,C2 and
C3 are connected in
series .The current flowing through the capacitors are 'i' ampere. Voltage developed
across C1,C2 and C3 are Vc1,Vc2 and Vc3 respectively.
V=Vc1+Vc2+Vc3
(1/C)=(1/C1)+(1/C2)+(1/C3)
·
When 'n' capacitance's are connected in series
them,
(1/C)=(1/C1)+(1/C2)+(1/C3)+.................(1/Cn)
·
Two capacitors are connected in series:
(1/C)=(1/C1)+(1/C2)
C=(C1*C2)/(C1+C2)
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