Question

A magnetic field B=Bo (i+2j-4k) exist at a point check the nature of B is solenoidal or not

Answer 1

Answer:

In a certain region static electric and magnetic fields exist. The magnetic feild is given by

B

=B

0

(

i

^

+2

j

^

−4

k

^

) . If a test charge is given by

v

=v

0

(3

i

^

+

j

^

−2

k

^

) experiences no force in that region, then the

$B=B0(i+2j−4k^)</p><p></p><p>v=v0(3i−j)+2k)</p><p></p><p>Now, </p><p></p><p>B×v=B0v0(−k^−2j−6k^+4i^−12j^−4j^)</p><p></p><p>=B0v0(0j^−14j^−7k^)</p><p></p><p>=−B0v0(14j^+7k^)</p><p></p><p>$

electric field in the region, in SI units, is :