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TS EAMCET 4 May 2018 Shift 2 Solved Paper
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© examsnet.com
Question : 107
Total: 160
A resistance network is connected to a battery as shown in the figure below. If the internal resistance of the battery is
5
Ω
,
the value of
R
(in
Ω
) for maximum power delivered to the network is
2
4
5
6
Validate
Solution:
Consider the following figure of Wheatstone bridge.
Applying Kirchhoff’s voltage law in loop ABCA,
−
3
R
i
1
−
4
R
(
i
1
−
i
2
)
+
2
R
i
2
=
0
7
i
1
=
6
i
2
i
1
=
6
7
i
2
Also,
i
1
+
i
2
=
i
Therefore,
(
6
7
+
1
)
i
2
=
i
i
2
=
7
13
i
Therefore,
i
1
=
6
13
i
In loop ABDA,
3
R
i
1
+
2
R
i
2
≈
V
So
3
R
(
6
13
i
)
+
2
R
(
7
13
i
)
=
i
R
eq
R
eq
=
32
13
R
Therefore,
R
eq
=
32
13
R
5
=
32
13
R
R
≈
2
Ω
© examsnet.com
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