The magnetic field of a small current loop at a large distance r from
the loop along its axis varies as ....
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Explanation:
12th
Physics
Moving Charges and Magnetism
Magnetic Field on the Axis of a Circular Current Loop
The magnetic field at a dis...
PHYSICS
The magnetic field at a distance x on the axis of a circular coil of radius R is
8
1
th of that at the centre.The value of x is
MEDIUM
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ANSWER
From above formula magnetic field at center z=0
B=
2R
μ
∘
Ni
....(i)
Given magnetic field B
′
at distance Z from center is
8
B
B
′
=
8
1
2R
μ
∘
Ni
....(ii)
From above concept B
′
=
2((R
2
+Z
2
)
2
3
μ
∘
NiR
2
....(iv)
From equation (ii) and (iv)
2((R
2
+Z
2
)
2
3
μ
∘
NiR
2
=
8
1
2R
μ
∘
Ni
8R
3
=(R
2
+Z
2
)
2
3
taking cube root on both sides
2R=
R
2
+Z
2
⇒Z=
3
R
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