RESISTANCE IN SERIES
R1, R2 and R3 are three resistance-connected end to end across voltage source, V. VI. V2 and V3 are voltage drops in RI, R2 and R3 respectively I is the total current. From the fig we see that
VT= VI+V2+V3 ---> (1)
We know that
Vs=IR—> (2)
Put eq (2) in eq (1) we get
IRT= IR1+IR2+IR3--------> (3)
IRT = I(R1+R2+R3) —>(4)
Divide both sides by I we get
RT = R1+R2+R3
In general
RT = R1+R2+R3........................... Rn
Where n=1,2,3,4,........
CONCLUSION
In series combination of resistance the total resistance
is equal to the sum of all individual resistance.Resistance in series Characteristics
- In series circuit the current flows in each resistor is same.IT=I1-I2-I3
- In series circuit the total resistance is equal to the sum of all circuit resistance.RT = R1 + R2 + R3 ................... RN
- In series circuit when the value of one resistor is increased as a result the total circuit resistance is increases.
- In series circuit there is the different voltage drop across each resister, which depends on the value of resister.
- In series circuit the total voltage is equal to the sum of voltage drop across each resister.VT= V1+V2+V3IRT = IR1 + IR2 + 1R3
- In series if there is fault in the one resister as a result the complete circuit will not work.
- In series circuit the total power is equal to the sum of all power, which are across the each resister.PT=P1+P2+P3
As there are single path in this circuit so they are not used commonly.
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