Derive the equation to find out the equivalent resistance for series connection.
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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
solution
Explanation:
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