ee the above circuit diagram to answer the question. The battery voltage is  V = 66.1 V; R1 = 126 Ohms; R2 = 122 Ohms; R3 = 190 Ohms; R4 = 71 Ohms; R5 = 198 Ohms; and R6 = 120 Ohms. How much current flows through resistor R3?    0.144 A    0.170 A    0.093 A    0.195 A

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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See the above circuit diagram to answer the question. The battery voltage is  V = 66.1 V; R1 = 126 Ohms; R2 = 122 Ohms; R3 = 190 Ohms; R4 = 71 Ohms; R5 = 198 Ohms; and R6 = 120 Ohms. How much current flows through resistor R3? 

 

0.144 A 

 

0.170 A 

 

0.093 A 

 

0.195 A 

R₁
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ww
R₂
N
R
3
R
R₁ 6
R5
Transcribed Image Text:R₁ ww ww R₂ N R 3 R R₁ 6 R5
Expert Solution
Step 1: simplifying the circuit

Resistor space straight R subscript 4 space and space straight R subscript 5 space end subscript are space in space parallel space so space their space equivalent space resistance space would space be
straight R subscript 45 equals fraction numerator straight R subscript 4 straight R subscript 5 over denominator straight R subscript 4 plus straight R subscript 5 end fraction
space space space space space space equals fraction numerator 71 cross times 198 over denominator 71 plus 198 end fraction
space space space space space space space equals 52.26
Now space this space is space in space series space with space straight R subscript 6 space so space equivalent space resistance space is
straight R subscript 456 equals straight R subscript 45 plus straight R subscript 6
space space space space space space space space equals 52.26 plus 120
space space space space space space space space equals 172.26 space ohms
Now space this space is space parallel space with space straight R subscript 3 space so space equivalent space resistanec space will space be
straight R subscript 3456 equals fraction numerator straight R subscript 3 straight R subscript 456 over denominator straight R subscript 3 plus straight R subscript 456 end fraction
space space space space space space space space space equals fraction numerator 190 cross times 172.26 over denominator 190 plus 172.26 end fraction
space space space space space space space space space equals 90.35 space ohms

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