Draw the circuit diagram and determine the equivalent resistances
are connected parallel to each other.
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Draw circuit diagram of three resistances connected in series combination. Derive formula for equivalent resistance for this combination.
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 combination, R=R 1+R 2 +R 3
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