Question

Magnetic field being perpendicular to area (B ⊥ A), why isn't magnetic flux (ΦB) zero?
Since;
ΦB = BAcosθ (Magnetic flux is scaler and dot product) and since perpendicular (⊥) = 90° => cos90° = 0, ΦB = BA(0) => ΦB = 0, that is what it should and/or must be but it is said that ΦB = BAcos90° = BA????? How's that possible?

Answer 1

Answer:

this is because we take area vector which is perpendicular to the area and if if magnetic field is perpendicular to the plane of area then it is parallel to the area vector therefore theta must be zero

( it is important to note that many books take consideration of area vector which is perpendicular to the plane and some consider plane of area which is parallel to plane of area and perpendicular to area vector and formula which you are using is actually for area vector)

Answer 2

Answer:

because phai= BA

if the magnetic field B makes an angle Theta with the perpendicular to the plane then magnetic flux linked with the plane will be given by

phai = BA costheta

this normal to the plane and having magnetiude equal to area A ia known as area vector A