Question

Can someone please answer all the following questions. I have attached my attempt to answer the questions however I am unsure whether it is correct

scalar the mear- pisld andfar-Prld Limits

Answer 1

Given vector A (vector r, t) = vector nabla times (vector m (t - 1/c)/r) mu_0/4 pi and vector m (t) = hat m_0 sin w t vector A (vector r, t) = vector nabla times (hat k m sin w (t - 1/c)/r) mu_0/4 pi vector nabla times (m sin (t - 1/c)/r) k mu_0/4 pi m_0 sin w (t - 1/c)/r^2) hat k times hat r + hat k times hat r/r [w/c m_0 cos w (t - r/c)] mu_0/4 pi vector B = vector nabla cross vector A vector B_near = vector nabla cross vector A_near = m_0 sin w (t - 1/c)/r^2) mu_0/4 pi vector nabla times (hat k cross hat r)/r^2 = 3 hat r (hat r k) hat k /r^3 m_0 sin w (t - 1/c)/r^2) mu_0/4 pi