Physics Problems & Solutions: Electromagnetism

Which of the following equation is a consequence of the equation $\nabla \times \bold H = \dot{\bold D}+\bold J$ ?

A. $\nabla \cdot (\dot{\bold D}+\bold J )=0$
B. $\nabla \times (\dot{\bold D}+\bold J )=0$
C. $\nabla(\dot{\bold D}+\bold J )=0$
D. $\dot{\bold D}+\bold J =0$
E. $\dot{\bold D}\cdot\bold J =0$

(GR8677 #11)

Solution:

Vector identity: ∇ · (∇ × A) = 0

$\nabla \cdot (\nabla \times \bold H) =\nabla \cdot (\dot {\bold D} + \bold J)=0$

Answer: A

Physics Problems & Solutions

Electromagnetism - Vector Identity

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