AIEEE Exam

the cross section of a
long cable that has an inner wire of radius R
surrounded by a conducting sheath of outer
radius 2R. The wire and the sheath carry currents
in opposite directions but with the same uniform
current density J. What is the magnitude of the
magnetic field at the surface of the outer
conductor ?

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AIEEE Other Question

Two long, straight wires are parallel to and
equidistant from the y-axis, as shown in figure (i).
Each carries current I in opposite directions,
resulting in a magnetic field of magnitude B0 at
the origin. If the wires are each bent into right
angles and placed as shown in figure (ii), what is
the magnitude of the magnetic field at the origin Two concentric metal spheres X and Y
X carries a positive charge, and Y
is connected to ground. True statements include
which of the following ?
I. The electric field inside X is zero
II. The electric field outside Y is zero
III. The charge density on both spheres is the same
(A) I only
(B) III only
(C) I and II only
(D) II and III only