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VITEEE 2009 Solved Paper
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© examsnet.com
Question : 28
Total: 120
In the adjacent shown circuit, a voltmeter of internal resistance R, when connected across B and C reads
100
3
V. Neglecting the internal resistance of the battery, the value of R is
100 kΩ
75 kΩ
50 kΩ
25 kΩ
Validate
Solution:
Internal resistance of voltmeter = R.
Effective resistance across B and C
1
R
'
=
1
R
+
1
50
=
50
+
R
50
R
or
R
'
=
(
50
R
50
+
R
)
According to Ohm's law,
V
'
=
IR
'
or
100
3
=
I
.
(
50
R
50
+
R
)
or
100
3
(
50
+
R
50
R
)
=
I
...(i)
Now, total resistance of circuit
R
n
=
50
+
50
R
50
+
R
or
R
n
=
(
2500
+
100
R
)
(
50
+
R
)
Now,
V
n
=
IR
n
⇒
100
=
100
3
(
50
+
R
50
R
)
2500
+
100
R
(
50
+
R
)
⇒150R = 2500 + 100R or R = 50kΩ
© examsnet.com
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