-->

Current Electricity

Question
CBSEENPH12039718

The resistance of the series combination of two resistances is S. When they are joined in parallel through total resistance is P. If S = nP, then the minimum possible value of n is

  • 4

  • 3

  • 2

  • 1

Solution

A.

4

Let the resistance R1 and R2
So, S = R1+ R2;
straight P space equals space fraction numerator straight R subscript 1 straight R subscript 2 over denominator straight R subscript 1 plus straight R subscript 2 end fraction
straight S space equals nP
straight R subscript 1 space plus space straight R subscript 2 space equals space fraction numerator nR subscript 1 straight R subscript 2 over denominator straight R subscript 1 plus straight R subscript 2 end fraction
left parenthesis straight R subscript 1 space plus straight R subscript 2 right parenthesis squared space equals space nR subscript 1 straight R subscript 2
If space straight R subscript 1 space equals space straight R subscript 2 comma space so space minimum space value space of space straight n space equals 4