I have solved your problem which is shown below:
Given that
N = number of turns = 150
I = Current = 12 A
radius = 0.05m
Length = 0.18 m
Using formula
n = Number of turns Per unit length= N/L
Substituting we get
So Magnetic flux inside this coil is
A = Area of the coil
Where r is the radius of the coil
We get
So Total Flux will be
Which is desired result
In case you have any query please write in a comment. I hope you like it. Thank you
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