Answer :
Answer:
The value of the magnetic field inside in the center is [tex]0.89759\times10^{-3}\ T[/tex].
Explanation:
Given that,
Number of turns per length = 50
Diameter = 2 mm
Stretched = 10 m
Voltage = 5 V
We need to calculate the resistance
Using formula of
[tex]R=\dfrac{\rho l}{A}[/tex]
[tex]R=\dfrac{4\rho l}{\pi d^2}[/tex]
Put the value into the formula
[tex]R=\dfrac{4\times1.1\times10^{-7}\times10}{\pi\times(2\times10^{-3})^2}[/tex]
[tex]R=0.35\ \Omega[/tex]
We need to calculate the magnetic field
Using formula of magnetic field
[tex]B = \mu_{0}nI[/tex]
[tex]B=\mu_{0}n\times\dfrac{V}{R}[/tex]
[tex]B=4\pi\times10^{-7}\times50\times\dfrac{5}{0.35}[/tex]
[tex]B=0.89759\times10^{-3}\ T[/tex]
Hence, The value of the magnetic field inside in the center is [tex]0.89759\times10^{-3}\ T[/tex].