Answer to Question #193665 in Electricity and Magnetism for laura

Question

a magnetic field is given by the expression b=axzi + byzj + ck. what is the relationship between a and b

Answer 1

Given magnetic field

B=axi+byj+ck

We know that

Maxwell second equation

$\nabla.B=0$ $\rightarrow(1)$

equation (1) put value

$(i\frac{d}{dx}+j\frac{d}{dy}+k\frac{d}{dz}).(axzi+byzj+ck)=0$

=az+bz=0

z(a+b)=0

a+b=0