Question

If two resistors are connected in series, the total resistance is 45 ohms and if the same resistors are connected in parallel, the total resistance becomes 10 ohms. Find the value of the individual resistors​

Answer 1

Answer:

R1+R2=45

R1R2/R1+R2=10

R1R2=10×45=450

R1(45-R1)=450

45R1-R1²=450

R1²-45R1+450=0

(R1-30)(R1-15)=0

R1=30,15

R2=15,30

Answer 2

Answer:

Hope it helps you

Explanation:

Let the resistance be R1 and R2

R1 + R2 = 45

R1 × R2/ R1+R2 = 10

R1 × R2 = 450

R1= 450/R2

450/R2 + R2 = 45

450 + (R2)^2= 45R2

On solving the above equation you will get the value of

R1 = 15 ohm ; R2 = 30 ohm

or

R1 = 30 ohm ; R2= 15 ohm