Define the relationship of equivelent resistance for series combination of three resistors using a suitable diagram
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The diagram of three resistors connected in series combination is shown.
R
1
,R
2
and R
3
are the three resistors.
I = electric current flowing through the circuit
V = the potential difference supplied by the battery
Applying the Ohm’s law to the entire circuit, we have
V=IR
On applying Ohm’s law to the three resistors separately, we further have
V
1
=IR
1
V
2
=IR
2
and V
3
=IR
3
The total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors. That is,
V=V
1
+V
2
+V
3
Therefore, IR=IR
1
+IR
2
+IR
3
or
Equivalent resistance of the combination, R=R
1
+R
2
+R
3
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