Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is.

Let r be the ratio R1/R2. Find r. Round your answer to the nearest thousandth.

Answer

The Value of  r  = 0.127

Explanation:

The mathematical representation of the two resistors connected in series is

 And from Ohm law

The mathematical representation of the two resistors connected in parallel  is

From the question

          =>                

     Dividing equation 2 with equation 1

       =>                

We are told that    

From equation 3  

Using the quadratic formula

        a = 1  b = -8 c =1  

Now  r =  0.127 because it is the least value among the obtained values

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