Calculate the value of the resistence which mustbe connected with 15 ohm resistence to provide an effective resistence of 6ohm

Asked by manalivishwakarma.1 | 14th Mar, 2015, 02:59: PM

Expert Answer:

begin mathsize 14px style Given space that space the space effective space resistance comma straight R subscript eff equals space 6 space straight capital omega Let space straight R subscript 1 space and space straight R subscript 2 space be space the space resistance space connected space in space parallel space to space obtain space an space effective space 6 space straight capital omega Given space space straight R subscript 1 equals 15 space straight capital omega We space know space that space when space resistance space are space connected space in space parallel comma 1 over straight R subscript eff equals 1 over straight R subscript 1 plus fraction numerator 1 over denominator space straight R subscript 2 end fraction 1 over 6 equals 1 over 15 plus fraction numerator 1 over denominator space straight R subscript 2 end fraction fraction numerator 1 over denominator space straight R subscript 2 end fraction equals 1 over 6 minus 1 over 15 fraction numerator 1 over denominator space straight R subscript 2 end fraction equals 3 over 30 equals 1 over 10 rightwards double arrow straight R subscript 2 space equals 10 space straight capital omega end style

Answered by Jyothi Nair | 14th Mar, 2015, 10:14: PM