Question

prove that in series combination of two resistor R1 and R2 equivalent resistance Req= R1 + R2​

Answer 1

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In series, combination the current throughout the circuit is a constant .

so we can say that

So the potential difference across the circuit will be the sum of potential difference of all the resistance .

then

V= V1+V2

V= iR

Substituting thus

iReq= iR1+iR2

i (Req)= i (R1 + R2)

Req = R1+R2

Hence Proved.