Respuesta :
The comparison of magnetic fields at two places is required.
The magnetic field at 0.5 cm is twice as strong compared to the magnetic field at 1 cm.
Magnetic field is given by
[tex]B=\dfrac{\mu_0I}{2\pi r}[/tex]
[tex]\mu_0[/tex] = Vacuum permeability
I = Current
r = Radial distance
So,
[tex]B\propto \dfrac{1}{r}[/tex]
[tex]B_{0.5}=\dfrac{1}{0.5}[/tex]
[tex]B_1=\dfrac{1}{1}=1[/tex]
[tex]\dfrac{B_{0.5}}{B_1}=\dfrac{1}{0.5}\\\Rightarrow B_{0.5}=2B_1[/tex]
So, the magnetic field at 0.5 cm is twice as strong compared to the magnetic field at 1 cm.
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