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Solve it please for magnetic fields in the question

Solve it please for magnetic fields in the question

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Grade:12

1 Answers

Arun
25750 Points
3 years ago
Magnetic field due to a coil of radius r at its center = 
2r
μ 
o
​ 
 I
​ 
 
The thickness of the wire(t)= 
n
b−a
​ 
 
Let us choose a loop at radius x and thickness dx
The thickness through dx is I 
T
dx
​ 
 
Using this in formula:
We get magnetic field due to dx is  
2xt
μ 
o
​ 
 Idx
​ 
 
For total magnetic field we need to integrate from a to b and substitute value of t.
Net magnetic field =∫ 
a
b
​ 
  
2xt
μ 
o
​ 
 Idx
​ 
 
 
Magnetic Field = 
2(b−a)
μ 
o
​ 
 nIlog 
e
​ 
 ( 
a
b
​ 
 )
​ 
  

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