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JEE Main Physics Class 12 Moving Charges and Magnetism Part 1 Questions
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© examsnet.com
Question : 30
Total: 100
A Helmholtz coil has pair of loops, each with
N
turns and radius
R
. They are placed coaxially at distance
R
and the same current
I
flows through the loops in the same direction. The magnitude of magnetic field at
P
, midway between the centres
A
and
C
, is given by (Refer to figure):
[Online April 15, 2018]
4
N
µ
0
I
5
3
∕
2
R
8
N
µ
0
I
5
3
∕
2
R
4
N
µ
0
I
5
1
∕
2
R
8
N
µ
0
I
5
1
∕
2
R
Validate
Solution:
Point
P
is situated at the mid-point of the line joining the centres of the circular wires which have same radii (R).
The magnetic fields
(
→
B
)
at
P
due to the currents in the wires are in same direction.
Magnitude of magnetic field at point,
P
B
=
2
{
µ
0
N
I
R
2
2
(
R
2
+
R
2
4
)
3
∕
2
}
=
µ
0
N
I
R
2
5
3
∕
2
8
=
8
µ
0
N
I
5
3
∕
2
R
© examsnet.com
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