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CBSE Class 10 Answered

If two resistors are connected in parallel then resultant resistance is 4 ohm then same resistors are connected in series then resultant is 8 ohm find the value of each resistor?
Asked by karanbora625 | 29 Apr, 2020, 09:32: PM
answered-by-expert Expert Answer
When two resistors are connected in parallel - 
Resultant resistance, RP = 4 Ω 
1 over R subscript p space equals 1 over R subscript 1 plus 1 over R subscript 2 1 over R subscript p equals fraction numerator R subscript 1 plus R subscript 2 over denominator R subscript 1 R subscript 2 end fraction space R subscript p space equals space fraction numerator R subscript 1 R subscript 2 over denominator R subscript 1 plus R subscript 2 end fraction space 4 space equals fraction numerator R subscript 1 R subscript 2 over denominator R subscript 1 plus R subscript 2 end fraction space... space left parenthesis 1 right parenthesis space W h e n space c o n n e c t e d space i n space s e r i e s comma space R e s u l tan t space r e s i s tan c e comma space R subscript S space equals space 8 space capital omega space 8 space equals space R subscript 1 plus R subscript 2 space... space left parenthesis 2 right parenthesis space 4 equals fraction numerator R subscript 1 R subscript 2 over denominator 8 end fraction R subscript 1 R subscript 2 space equals space space 32 space R subscript 1 space equals space fraction numerator 32 space over denominator R subscript 2 end fraction space... space left parenthesis 3 right parenthesis space A f t e r space S u b s t i t u t i o n comma space y o u space w i l l space g e t space e q u a t i o n comma space R subscript 1 squared space minus 8 space R subscript 1 space plus space 32 space equals space 0 space A f t e r space s o l v i n g space t h i s space e q u a t i o n space y o u space w i l l space n o t space g e t space p e r f e c t space r o o t s space o f space t h i s space e q u a t i o n. space S o comma space t h e space n u m b e r space o f space e q u i v a l e n t space r e s i s tan c e space i n space a n y space o n e space o f space t h e space c a s e space i s space w r o n g. space P l e a s e space c h e c k space a n d space p o s t space t h e space q u e s t i o n space a g a i n space.
Answered by Shiwani Sawant | 30 Apr, 2020, 12:43: AM

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