A vector field F⃗ 𝐹→ is called solenoidal ifa.div(curl(F⃗ ))=0𝑑𝑖𝑣(𝑐𝑢𝑟𝑙(𝐹→))=0b.curl(F⃗ )=0𝑐𝑢𝑟𝑙(𝐹→)=0c.div(F⃗ )=0𝑑𝑖𝑣(𝐹→)=0d.None of these

If F(x,y,z)𝐹(𝑥,𝑦,𝑧) is a vector field such that curl(F)≠0(𝐹)≠0 then:a.there will be a scalar field f𝑓 such that F=∇(f)𝐹=∇(𝑓).b.F𝐹 is a conservative vector field.c.F𝐹 is irrotational.d.none of the choices are true.

How to find curl of a vector field?

Which of the following vector is a solenoidalSelect one:a. b. c. d.

Suppose E = (x3y2, −y3x2, x3y3) and B = (ex, ey, ez ). Determine which (if any) vector fieldis solenoidal and explain why.[5 marks]END OF PAPER3

For any vector field F⃗ 𝐹→, its scalar potential ϕ𝜙 can be found. Select one:TrueFalse