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## Homework Statement

Calculate the time-dependent magnetic field intensity B(t) at an axial distance r from a long, thin straight copper wire that carries a sinusoidal current with an alternating frequency of 50 Hz and a maximum amplitude of 0.5 A.

## Homework Equations

[tex] I = Asin(\omega t) [/tex]

[tex] B = \frac{\mu_0 I}{2\pi r} [/tex]

## The Attempt at a Solution

I can solve for the above simply enough but my real concern is that using this equation for B is greatly oversimplifying the problem. I have looked into using Faraday's Law and Biot-Savart Law but I feel I'm lacking some information in order to use them.