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AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper
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© examsnet.com
Question : 108
Total: 160
The length of a potentiometer wire is 'l'. A cell of emf 'E’ is balanced at a length positive end of the wire. If the length of the wire is increased by
(
l
2
)
, the distance at which the same cell gives the balancing point is
(cell in the primary is ideal and no series resistance is present in the primary circuit)
2
l
3
l
2
l
6
4
l
3
Validate
Solution:
Consider the diagram of the system as shown below.
The emf of the cell that gives balancing length
l
3
is calculated as,
E
=
K
(
l
3
)
E
=
V
l
(
l
3
)
E
=
V
3
.....(I)
When the length of potentiometer increases by
l
2
,
the new length is calculated as,
l
1
=
l
+
l
2
l
1
=
3
l
2
The new potential gradient is,
K
′
=
V
(
3
l
2
)
K
′
=
2
V
3
l
The emf is calculated as,
E
=
K
′
l
′
V
3
=
2
V
3
l
l
′
l
′
=
l
2
© examsnet.com
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