Question

15 points Two triangular loops (with idenical suface areallaced near an infininely long Elament carrying eTR L as showm Is the ining trangle TI equal to the lax linking triangle 122 y or wim co p TI 72

Answer 1

(a). N, they are not equal. The flux passing through T1 is greater than T2. This is because Magnetic field of an infinite wire is inversely proportional to the distance and T1 has a larger area near the wire.

(b). With vector potential, we can evaluate magnetic field, the current and electric field

$\vec{B}=\vec{\nabla}\times \vec{A},\\ \nabla^2\vec{A}=-\mu_0 \vec{J},\\ \vec{E}=-\vec{\nabla}\phi-\frac{\partial\vec{A}}{\partial t}.$

However, it has not physical significance. It is merely a computational tool.