Question

Write any four difference between series and parallel connections of resistors 0

Answer 1

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Resistance can be combined in two ways :

1.) Series Combination .
2.) Parallel Combination .


→ Series Combination .


Let there be 3 resistors ( R1 , R2 and R3 )


=> V1 = IR1
=> V2 = IR2 
=> V3 = IR3 

Let total potential be ( V ) 

V = V1 + V2 + V3 

V = IRe ( Re is the equivalent resistance . ) 

Thus ,

• IRe = IR1 + IR2 + IR3 

♦ Re = R1 + R2 + R3 . 

=> In series combination the equivalent resistance is the sum of individual resistances i.e R1 + R2 + R3 ............

=> The current through each resistor is same .

=> The equivalent resistance is greater than that of individual resistance in series combination .

=> the Total voltage drop is equal to the sum of the voltage across each resistor .


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→ Parallel Combination

Let there be 3 resistors in parallel ( R1 ,R2 and R3 . )


=> I = I1 + I2 + I3

=> I1 = V / R1
=> I2 = V /R2
=> I3 = V / R3

I1 + I2 + I3 = V / R1 + V / R2 + V / R3

Let equivalent resistance be ( Re )

=> Re = V / I => I = V / Re

=> V / Re = V/ R1 + V / R2 + V / R3

♦ => I / Re = 1 / R1 + 1 / R2 + 1 / R3

=> In parallel combination the equivalent resistance is the sum of reciprocal of the individual resistance i.e 1 / R1 + 1 / R2 + 1 / R3.........

=> The current in resistors is diffrent and is inversely propotional to the resistances .
Higher the resistance , lower will be the current .

=> The total current is equal to the sum of current flowing in different branches.

=> Total voltage across each resistor is same in parallel combination .


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Answer 2

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