Question

B. When two resistors are connected
in series, their effective resistance
is 80 2. When they are connected
in parallel, their effective resistance
is 20 12. What are the values of the
two resistances?
(Answer: 40 2,40 2)​

Answer 1

Answer: 40 ohms

Explanation:

Yes definitely both resistance must be same 40 ohm's.

In series equivalent resistance is R1+R2=80 ohm's.

In parallel equivalent resistance is

(R1.R2)/(R1+R2)=20 ohm's.

So R1.R2=1600 ohm's.

By solving underlined eq by using formula of quarditic equation

(R1+R2)^2-(R1-R2)^2=4R1.R2

So we get finally R1=R2=40 ohm's