## SERIES CIRCUIT

The resistors can be combined in two ways to get the desired resistance.

(1) Series Circuit (combination of resistors in series)

(2) Parallel Circuit (Combination of resistors in parallel)

When two or more resistances are connected end to end so that same current flows through each resistor they are said to be connected in series. Suppose three resistors R_{1}, R_{2} and R_{3} are joined in series as shown in figure and let the current passing through them be I.

Let V_{1}, V_{2} and V_{3} be the potential difference across each resistor respectively. According to ohm’s law:

V_{1} = I R_{1}

V_{2} = I R_{2}

and V_{3} = I R_{3}

If V is the total potential difference between the ends A and D, then

V = V_{1} + V_{2} + V_{3}

or V = I R_{1} + I R_{2} + I R_{3}

If R_{s} is the resultant resistance of series circuit, then

V = IR_{s}

or IR_{s} = I R_{1} + I R_{2} + I R_{3}

or IR_{s} = I(R_{1} + R_{2} + R_{3})

or R_{s} = R_{1} + R_{2} + R_{3}

So, when some resistors are joined in series, the total resistance of given series of resistors is equal to the sum total of individual resistors.

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