2 resistors of resistance 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 10 Is.

Let r be the ration R1/R2. find r.

The value of r is

Explanation:

Generally for a series connection the equivalent resistance is mathematically evaluated as

Where are and are given in the question

The current is mathematically  represented as

Generally for a parallel connection the equivalent resistance is mathematically evaluated as  

The current is mathematically  represented as                

Now we are told that  

                                           =>    

                                           =>    

                                           =>    

From the question

Substituting this into the equation we have

Multiplying through by r

Solving the equation using quadratic formula

Now recall the so

Hence

The value for r = 0.12

Explanation:

In series combination, we have:

Req = R1 + R2

The current is:

(eq. 1)

In parallel combination, we have:

The current is:

(eq. 2)

If Ip = 10Is

if Y = r

Solving:

lol

explanation: