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

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.

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

A field can exist if it satisfiesSelect one:a. Gauss Lawb. All Maxwell's equationsc. Coulumb's Lawd. Faraday's Law

How to find curl of a vector field?

A field can exist if it satisfiesSelect one:a. All Maxwell's equationsb. Gauss Lawc. Faraday's Lawd. Coulumb's Law