calculate the equivalent resistance between the two points A and B in the following circuit diagram.
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Answer:
Resistors of 3Ω and 2Ω are also in series.
∴ Their equivalent resistance, R
1
=3Ω+2Ω
Resistors of 6Ω and 4Ω are also in series.
∴ Their equivalent resistance, R
2
=6Ω+4Ω
Now, R
2
,30Ω and R
2
are in parallel.
Let R be the equivalent resistance.
Then =
R
1
=
R
1
1
+
30
1
+
R
2
1
=
5
1
+
30
1
+
10
1
=
30
6+1+3
=
30
10
orR=
10
30
=3Ω
Hence, the equivalent resistance between A and B is 3Ω.
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