three resister 50 hms, 100hms and 150 ohms are connected in series and parallel. find the resultant resistantce in the ciruit.
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The great rivers and their tributaries carry enormous quantities of alluvium while descending from the Himalayas. This is deposited in the Great Plain of North India in the form of fertile soil, making the plain one of the most fertile lands of the world.
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Answer:
When connected in series the total resistance is;
R1+R2 = 50 ——————-(1)
When connected in parallel total resistance is;
(R1 *R2)/(R1+R2)=8 ———————-(2)
R1*R2/50=8
R1*R2=400 ———————-(3)
(R1+R2)^2 -( R1-R2)^2=4R1*R2
(50*50)-(R1-R2)^2=4*400
2500-(R1-R2)^2=1600
(R1-R2)^2=2500–1600
(R1-R2)^2=900
(R1-R2)=30 —————————-(4)
Adding eq.(1) and (4)
2R1=80
R1=40 Ohms
R2=10 Ohms
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