# 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
V

_{T}= V_{I}+V_{2}+V_{3}---> (1)
We know that

Vs=IR—> (2)

Put eq (2) in eq (1) we get

IR

_{T}= IR_{1}+IR_{2}+IR_{3}--------> (3)
IR

_{T}= I(R_{1}+R_{2}+R_{3}) —>(4)
Divide both sides by I we get

R

_{T}= R_{1}+R_{2}+R_{3}
In general

R

_{T}= R_{1}+R_{2}+R_{3}........................... R_{n}
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.I
_{T}=I_{1}-I_{2}-I_{3} - In series circuit the total resistance is equal to the sum of all circuit resistance.R
_{T}= R_{1}+ R_{2}+ R_{3}................... R_{N} - 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.V
_{T}= V_{1}+V_{2}+V_{3}IR_{T}= IR_{1}+ IR_{2}+ 1R_{3} - 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.P
_{T}=P_{1}+P_{2}+P_{3}

As there are single path in this circuit so they are not used commonly.

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