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an electric cell of emf 10v and internal resistance 1 ohm is connected in series with the parallel combination of three resistances of 3, 5 and 8 ohm. calculate the current through the three resistances
Asked by avisinghbwn | 20 Apr, 2019, 09:00: AM
answered-by-expert Expert Answer
e q u i v a l e n t space r e s i s tan c e space o f space r e s i s t i r s space 3 comma 5 comma 8 space o h m s space c o n n e c t e d space i n space p a r a l l e l space i s 1 over R space equals space 1 third space plus space 1 fifth space plus space 1 over 8 space equals space fraction numerator 60 plus 24 plus 15 over denominator 120 end fraction space equals space 99 over 120 R space equals space fraction numerator 120 over denominator space 99 end fraction space equals space 1.2 space o h m sin v e space 1 space o h m space i s space i n space s e r i e s space w i t h space t h i s space r e s i s tan c e space s o space n e t space e f f e c t i v e space r e s i s t q n c e space o f space t h e space c i r c u i t R space equals space 1 plus space 1.2 space equals space 2.2 space o h m c u r r e n t space o f space t h e space c i r c u i t space I space equals space V over R space equals space fraction numerator 10 over denominator 2.2 end fraction space equals 5.45 space A v o l t a g e space c o n s u m e d space b y space 1 space o h m space r e s i s tan c e space equals space 1 cross times 5.45 space space 5.45 space V v o l t q g e space l e f t space f o r space t h e space r e s t space o f space t h e space r e s i s t o r space space equals space 10 minus 5.45 space equals space 4.55 space v o l t s o space c u r r e n t space t h r o u g h space 3 space o h m space equals space fraction numerator 4.55 over denominator 3 end fraction space equals space 1.517 A c u r r e n t space t h r o u g h space 5 o h m space equals space fraction numerator 4.55 over denominator 5 end fraction space space equals space 0.91 space A c u r r e n t space t h r o u g h space 8 space o h m space space equals space fraction numerator 4.55 over denominator 8 end fraction space equals space 0.568 space A
Answered by Ankit K | 20 Apr, 2019, 11:23: PM

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