Prove that the series combination Req-R1-R2-R3

Dear Student we know that current in all the resistors in a series combination nbsp;is the same and the potential difference V = V1 + nbsp;V2 + nbsp;V3 ...

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Standard VII

Physics

Series Circuit

Prove that th...

Question

Prove that the series combination R_eq=R₁+R₂+R₃

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Solution

Dear Student

we know that current in all the resistors in a series combination is the same
and the potential difference V = V1 + V2 + V3 ..........(1)
V = IR
V₁ = IR ₁
V₂ = IR₂
V₃ = IR₃
Substituting the values in (1)
IR = IR_{1 +}IR_{2 +} IR₃
IR = I ( R_{1 +}R_{2 +} R₃)
R = R_{1 +}R_{2 +} R₃( I on both sides gets cancelled)
Hence, proved.

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Prove that the series combination Req=R1+R2+R3

Prove that the series combination R_eq=R₁+R₂+R₃