Question

prove that the resistance of the combination is always less than the least single reaction in the case of resistance connect ed in parellel​

Answer 1

Answer:

suppose there are resistances R1,R2…..Rn

and eqivalent resistance be Rq….

so 1/Rq=1/R1 +1/R2 + …..1/Rn

and let the smallest resistance be R1(suppose)………so…..1/Rq > 1/R1

since 1/Rq=1/R1+1/R2…..1/Rn which is always greater than 1/R1

so Rq< R1…………hence smaller than the smallest resistance

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