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Byju's Answer
Standard IX
Physics
Equivalent Resistance in Series Circuit
Find the equi...
Question
Find the equivalent resistance of the given circuit shown in figure.
A
20
Ω
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B
5
Ω
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C
8
Ω
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D
10
Ω
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Solution
The correct option is
D
10
Ω
The
12
Ω
and
6
Ω
resistors are in parallel, so their equivalent resistance is
R
1
=
12
×
6
/
(
12
+
6
)
=
4
Ω
.
The
7
Ω
and
5
Ω
resistors are in series, so their equivalent resistance is
R
2
=
7
+
5
=
12
Ω
.
The
R
1
=
4
Ω
and
R
2
=
12
Ω
are in parallel, so their equivalent resistance is
R
3
=
12
×
4
/
(
12
+
4
)
=
3
Ω
Now this
R
3
=
3
Ω
and
7
Ω
are in series, so the equivalent resistance is
7
+
3
=
10
Ω
So the equivalent resistance of circuit is
10
Ω
.
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