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JEE Mains 05-Sep-2020 Shift 2 Solved Paper
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© examsnet.com
Question : 5
Total: 75
An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor
C
with a sliding connector are located in the same plane, as shown in the figure. The connector has length
l
and resistance
R
. It slides to the right with a velocity v. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation
r
,
between the connector and the straight wire is :
µ
0
π
I
v
l
R
r
µ
0
2
π
I
v
l
R
r
2
µ
0
π
I
v
l
R
r
µ
0
4
π
I
v
l
R
r
Validate
Solution:
B
=
µ
0
i
2
π
r
ϕ
=
µ
0
i
2
π
r
l
d
r
⇒
d
ϕ
d
t
=
µ
0
i
l
2
π
r
.
d
r
d
t
⇒
e
=
µ
0
2
π
.
i
v
l
r
i
=
e
R
=
µ
0
2
π
.
i
v
l
R
r
© examsnet.com
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