GATE 2023 EMT Rank Booster Quiz 39

Two infinite current carrying sheets are placed parallel to each other in free space such that they carry current in the opposite direction with the same surface current density. The magnetic flux density in the space between the sheets will be

In a spherical co-ordinate system magnetic vector potential at point (r, θ, ϕ) is given as A = 12 cosθa_ϕ. The magnetic flux density at point (3, 0, ) will be

The current density that produce the magnetic vector potential A = 2a_ϕ in cylindrical coordinates is

Magnetic field intensity produced due to a current source is given as

H = (z cos ay) a_y + (z + e^y)a_x

The current density over the xz plane will be

Consider a vector field . The closed loop line integral can be expressed as

An infinitely long uniform solid wire of radius a carries a uniform dc current of density.
A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

The magnetic field inside the hole is

Consider  as vector magnetic potential, the magnetic energy density is given by (J is current density)