RESISTORS CONNECTED IN SERIES



When resistances are joined end to end with each other as shown in the diagram , then resistances are said to be connected in series.


TOTAL EFFECTIVE RESISTANCES OF RESISTORS CONNECTED IN SERIES 

If resistors R₁,R₂ and R₃ are connected in series to a circuit with current ‘I’ and potential difference ’V’ . The total potential difference across combination of resistors in series is equal to sum of potential difference across each resistors in the circuit, that is

V= V₁+ V₂+V₃    —(1)

( V₁ is voltage across R₁, V₂ is voltage across R₂, V₃ is voltage across R₃. But current I is same across all resistors)

According to OHMS LAW
 V =IR apply to (1)
Then
IR = IR₁ +IR₂ + IR₃  ( divided with I in whole equation)
Then R = R₁ +R₂ + R₃

So the effective resistance of resistors connected in series 

R = R₁ +R₂ + R₃…….

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