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Byju's Answer
Standard IX
Physics
Equivalent Resistance in Series Circuit
When two resi...
Question
When two resistors are connected in series, their effective resistance is
80
Ω
. When they are connected in parallel, their effective resistance is
20
Ω
. What are the values of two resistances?
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Solution
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
=
R
1
(
80
−
R
1
)
80
Or
R
2
1
+
80
R
1
−
1600
=
0
⟹
R
1
=
40
Ω
So,
R
2
=
80
−
40
=
40
Ω
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