Question

Derive and expression for the equivalent resistance of three resistors r1r2r3 connected in series

Answer 1

Heya......!!!

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Three Resistors are connected in Series .

Let the resistors be - R1 , R2 and R3 .

Since the 3 resistors are connected in series then the current ( i ) through each of them will be same .

So ,, By ohm's law the potential diffrence across each resistor is

:- V1 = iR1
V2 = iR2
V3 = iR3

and total potential = V

that is V = V1 + V2 + V3

putting values of V1 , V2 and V3 , we get ,

»» V = i×R1 + i×R2 + i×R3

and Let equivalent Resistance be ( Re )

by Ohm's law :-- V =i×Re

-- Therefore

➡ i×Re = iR1 + iR2 + iR3

taking ( i ) common

♦ Re = R1 + R2 + R3 ♦


We can say that in series combination , the equivalent resistance is the sum of individual sum of resistance .



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Hope It helps You ☺

Answer 2

$\textbf{Answer is in Attachment !}$