Derive the expression for the equivalent resistance of
series combination of resistances.
a. Write the correct description
b. Draw correct and neat, labeled circuit diagram.
c. Derive the expression step by step.
d. Write the definition of the “Equivalent resistance
of the series combination of resistances.”
Answers
The diagram of three resistors connected in series combination is shown.
R1,R2 and R3 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
V1=IR1
V2=IR2
and V3=IR3
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=V1+V2+V3
Therefore, IR=IR1+IR2+IR3
or
Equivalent resistance of the combination, R=R1+R2+R3
The diagram of three resistors connected in series combination is shown.
R1,R2 and R3 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
V1=IR1
V2=IR2
and V3=IR3
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=V1+V2+V3
Therefore, IR=IR1+IR2+IR3
or
Equivalent resistance of the combination, R=R1+R2+R3
Answer:
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