To solve this problem we will start by calculating the resistance through the relationship between it, the voltage and the power. From there we will apply Ohm's law and later we will find the current. With these values we will have all the variables for the calculation of the magnetic field. So the resistance would be given by
[tex]P = \frac{V^2}{R}[/tex]
[tex]R = \frac{V^2}{P}[/tex]
Replacing with our values
[tex]R = \frac{(110.0V)^2}{1450W}[/tex]
[tex]R = 8.345\Omega[/tex]
The expression for Ohm's law is given below,
[tex]I = \frac{V}{R}[/tex]
[tex]I = \frac{110.0V}{8.345\Omega}[/tex]
[tex]I = 13.18A[/tex]
The magnetic field at any point from the current carrying straight wire depends on the current and the distance between the point and the wire, then
[tex]B = \frac{\mu_0 I}{2\pi r}[/tex]
Here,
[tex]\mu[/tex] = Permeability constant
I = Current
r = Distance between the points
Replacing
[tex]B = \frac{(4\pi*10^{-7} H\cdot m^{-1})(13.18A)}{2\pi (2.05*10^{-2}m)}[/tex]
[tex]B = 1226.0*10^{-7}T[/tex]
Therefore the magnetic field is given as [tex]1226.0*10^{-7}T[/tex]
