Dervive the relation Rs=R1+R2+R3

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Dervive the relation Rs=R1+R2+R3

Posted by ? Ishika ?? 5 years, 7 months ago

CBSE > Class 10 > Science

3 answers

? Ishika ?? 5 years, 7 months ago

Thanks you so much yogita ingle....??

1Thank You

Suryansh Singh 5 years, 7 months ago

Perfect answered

1Thank You

Yogita Ingle 5 years, 7 months ago

Let there be 3 resistance R_1, R₂, and R₃ connected in series. A battery of V volts has been applied to the ends of this series combination. Now suppose the potential difference across the resistance R1 is V_1, R₂ is V₂ and R₃ is V_3.

∴ 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)

∵ The same current is flowing through all three resistances, so by applying Ohm's law to three of them seperately, we will get
V₁ = IR₁
V₂= IR₂ and
V₃= IR₃ ... (3)

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

IR = IR₁ + IR₂ + IR₃
i.e IR = I ( R₁ + R₂ + R₃ )
⇒ R = R₁ + R₂+ R₃

2Thank You

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Posted by Pandey Ji 5 months, 4 weeks ago

CBSE > Class 10 > Science