Answer:
L'=167.7 m
Explanation:
Given that
d= 3.5 cm
L= 23 cm
B=0.025 T
I= 3 A
As we know that magnetic field in solenoid given as
[tex]B=\dfrac{\mu _oNI}{L}[/tex]
N=Number of turns
L=Length
B=Magnetic filed
I=Current
[tex]N=\dfrac{BL}{\mu _oI}[/tex]
Now by putting the all values
[tex]N=\dfrac{BL}{\mu _oI}[/tex]
[tex]N=\dfrac{0.025\times 0.23}{4\pi \times 10^{-7}\times 3}[/tex]
N=1525.23 turns = 1526 turns
Total length L'=Nπd
L'=1526 x 3.14 x 0.035
L'=167.7 m
