1. The problem statement, all variables and given/known data The electric field of a spherical electromagnetic wave in vacuum can be written in the form of: E(r,θ,phi)= A(sin(θ)/r)*[cos(kr-ωt)-(1/kr)sin(kr-ωt)]phi Show that E is consistent with ALL of Maxwell's equations in vacuum and find the associated magnetic field. 2. Relevant equations Maxwell's Equations 3. The attempt at a solution I calculated Curl E, which came out as (Acos(θ)/r^2sin(phi))*(sin(kr-ωt)/ω) +(2Asin(theta)/r^2)*(sin(kr-ωt)/ω) -(kAsin(θ)/r)*(sin(kr-ωt)/ω)+(Asin(θ)/kr^3)*(cos(kr-ωt)/ω)... I then tried to take the integral of this with respect to t to find B. although I ran into trouble, unknowing what to do with theta or r.... Any help would be much appreciated, maths isn't a strong point so I struggle with these type of questions.