Question

at what angle flux is half of its maximum value​

Answer 1

Answer:

where is the angle between the magnetic field and the area vector . ... halfway between its maximum and minimum value. ... left half of the region and out of the page in the right half.

Answer 2

The work done by a force in producing a displacement is half its maximum value when the angle between the force and displacement is $60°$

$F S Cosß = ½ F S, ==> Cos ß = ½, or ß= 60°.$

Explanation:

• Magnetic flux through a coil is maximum when it is equal to zero. Thus, equate this equation to zero and find the angle between the plane of the coil and lines of force.

• When calculating the magnetic flux we include only the component of the magnetic field vector which is normal to our test area.

• In the case that the surface is perpendicular to the field then the angle is zero and the magnetic flux is simply $B A B A BA .$

• The angle between force and displacement should be $θ = 90°$  for minimum work.

• In the most general form, magnetic flux is defined as $ΦB=∬AB⋅dA Φ B = ∬ A B ⋅ d A$. It is the integral (sum) of all of the magnetic field passing through infinitesimal area elements $dA.$

• The magnetic flux is maximum when the plane of the coil is perpendicular to the magnetic field i.e ,$θ = 0°$ Therefore,$Φ = NBA cos θ = NBA cos 0° =NBA (maximum).$