Question

prove R =R1 +R2 +R3 for series circuit​

Answer 1

V=V1+V2+V3

IR=IR1+IR2+IR3 ( I is constant )

R=R1+R2+R3

Answer 2

Let there be 3 resistance R1, R2, and R3 connected in seriesNow suppose the potential difference across the resistance R1 is V1, R2 is V2 and R3 is V3.

∴ V= V1+V2+V3 ...(1)

Now, suppose the total resistance of the combination be R, and the current flowing through the whole circuit be I.

So, applying Ohm's law to the whole circuit, we get :

V/I = R or V=IR ...(2)

NOW BY APPLYING OHMS LAW

V1 = IR1

V2= IR2

V3= IR3 ... (3)

Now, putting (3) and (2) in equation (1), we will get =>

IR = IR1 + IR2 + IR3

IR = I ( R1 + R2 + R3 )

⇒ R = R1 + R2 + R3