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Dervive the relation Rs=R1+R2+R3

Answer» Thanks you so much yogita ingle....??
Perfect answered
Let there be 3 resistance R1, 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 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)∵ The same current is flowing through all three resistances, so by applying Ohm\'s law to three of them seperately, we will get\xa0V1 = IR1V2= IR2 andV3= IR3 ... (3)\xa0Now, putting (3) and (2) in equation (1), we getIR = IR1 + IR2 + IR3i.e IR = I ( R1 + R2 + R3 )⇒ R = R1 + R2 + R3


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