GATE EC 2020: Electromagnetic Theory Quiz 3 (App update required to attempt this test)

Magnetic flux density and magnetic vector potential are related by

Certain current distribution gives rise to the vector magnetic potential
  Wb/m.The flux through the surface defined by  is ­ ­ ­ ­ ­______ Wb.

A co-axial line that is infinitely long carries a current of -2mA in the outer conductor, and 2mA in the centre of the conductor in 'z' direction. If the radius of inner conductor, inner part of outer conductor, and outer part of outer conductor are respectively 12mm, 18mm and 30mm, then find out the magnitude of magnetic field intensity at ρ=4mm. (ρ is the distance of point from centre of co-axial line)

What is the maximum torque (in Nm) on a square loop of 200 turns in a field of uniform flux density of 1 Wb/m². The loop has 15cm side and carries a current of 5A.

A rectangular loop carrying current I₂ is placed parallel to infinitely long filamentary wire carrying current I₁. The force experienced by the loop is _____

given : I₁ = 5A, I₂ = 1A, ₀ = 1m, a = 1m, b = 2m m = m₀