In Euclidean three-space, suppose $\star F= q \sin \theta d\theta \wedge d\varphi$.
a) Evaluated $d\star F=\star J $
b) What is the two-form F equal to?
c) What are the electric and magnetic fields equal to for this solution?
d) Evaluate $\int_{V} d\star F$ ,where V is a ball of radius R in Euclidean three space.
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