explain effective resistanceces in series combination by using digram .pls help me fast
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Resistors in Series : If the number of resistance are connected one after another in such a way that the same current flows through each resistance, then the arrangement is called resistance in series. I is the current, V is the PD across C and D, the three resistors R
1
, R
2
and R
3
are connected in series between points C and D. R
s
is the effective resistance in the circuit and V
1
, V
2
and V
3
are the potentials across the three resistors.
V=V
1
+V
2
+V
3
........(1)
By Ohm's Law,
V=IR
s
V
1
=IR
1
, V
2
=IR
2
, V
3
=IR
3
Substituting these values in equation no. 1
IR
s
=IR
1
+IR
2
+IR
3
I(R
s
)=I(R
1
+R
2
+R
3
)
∴ R
s
=R
1
+R
2
+R
3
For 'n' number of resistors connected in series
R
s
=R
1
+R
2
+R
3
+..........R
n
.
1
, R
2
and R
3
are connected in series between points C and D. R
s
is the effective resistance in the circuit and V
1
, V
2
and V
3
are the potentials across the three resistors.
V=V
1
+V
2
+V
3
........(1)
By Ohm's Law,
V=IR
s
V
1
=IR
1
, V
2
=IR
2
, V
3
=IR
3
Substituting these values in equation no. 1
IR
s
=IR
1
+IR
2
+IR
3
I(R
s
)=I(R
1
+R
2
+R
3
)
∴ R
s
=R
1
+R
2
+R
3
For 'n' number of resistors connected in series
R
s
=R
1
+R
2
+R
3
+..........R
n
.
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