Question

When two resistors are connected in series, their effective resistance is 60 ohms. When they are connected in parallel their effective resistance is 15 ohms. What are the values of the two resistances?​

Answer 1

Explanation:

Let the two resistances be R

1

and R

2

.

Series connection R

s

=R

1

+R

2

Or 80=R

1

+R

2

⟹ R

1

=80−R

2

Parallel connection :

R

p

=

R

1

+R

2

R

1

R

2

Or 20=

80

R

1

(80−R

1

)

Or R

1

2

+80R

1

−1600=0

⟹ R

1

=40Ω

So, R

2

=80−40=40 Ω