An alternating current \(I(t) = I_0 \cos(\omega t) \) flows through a circular wire of radius R, lying in x-y plane and centered at origin. The electric and magnetic fields are measured at a point r such that r>>\(\frac{c}{\omega} \)>>R. Which of the following statements is correct?
1
The time averaged E \(\propto \frac{1}{r^2} \).
2
B is along azimuthal direction.
3
The time averaged B has a minimum at \(\theta = \frac{\pi}{2} \)
4
None of the above.