Question

Derive the equavalent resistance in series

Answer 1

Explanation:

In series combination current across all resistors is same

let I be the current flowing

and voltages V1,v2,v3 across resistors r1,r2,r3

V=V1+v2+v3....vn

using ohms law put V=IR1,V=IR2....

I×Req=IR1+IR2+IR3....IRn

therefore R equivalent becomes

R=R1+R2+R3....Rn

Answer 2

Answer:

Explanation:

Series combination:

          "When resistors are connected end to end,this type

            of combination is called series combination."

Derivation:

In series combination,the current across all resistors is same.

Consider 3 resistors connected in series.

We know that:

  V = IR

And in series,voltages are different.

So,

V=V1 + V2+ V3

As V = IR

then : I Req= IR1 + IR2 + IR3

Taking current as common,,then above equation becomes:

Req= R1 + R2 + R3

It can be concluded that:

         "In series,simply resistances are added"

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