Question

The figure below shows a cross section of a long cylindrical
conductor of radius *a* = 4.14 cm containing a long
cylindrical hole of radius *b* = 1.56 cm. The central axes
of the cylinder and hole are parallel and are distance *d* =
2.03 cm apart; current *i* = 5.49 A is uniformly distributed
over the tinted area. **(a)** What is the magnitude of
the magnetic field at the center of the hole? **(b)**
What is the magnitude if *b* = 0? **(c)** What
is the magnitude if *d* = 0?

Answer #1

The figure shows a cross section across a long cylindrical
conductor of radius a = 1.99 cm carrying uniform current
24.7 A. What is the magnitude of the current's magnetic field at
radial distance (a) 0, (b) 1.43
cm, (c) 1.99 cm (wire's surface),
(d)3.13 cm?

The figure shows a cross section across a long cylindrical
conductor of radius a = 1.62 cm carrying uniform current 75.3 A.
What is the magnitude of the current's magnetic field at radial
distance (a) 0, (b) 0.797 cm, (c) 1.62 cm (wire's surface), (d)2.09
cm?

A long, hollow, cylindrical conductor (inner radius 8.0 mm,
outer radius 16.0 mm) carries a current of 16 A distributed
uniformly across its cross section. A long thin wire that is
coaxial with the cylinder carries a current of 16 A in the opposite
direction. What is the magnitude of the magnetic field at the
following distances from the central axis of the wire and cylinder?
(a) 4.0 mm. _______T (b) 12.0 mm. _______ T (c) 20.0 mm. _______
T

Long, straight, cylindrical conductor of outer radius 17 mm
carries a current 25 A. A uniformly distributed over its cross
section. What is the magnitude of the magnetic field at a distance
2mm in ISI units.

A long cylindrical wire (radius = 2.0 cm) carries a current of
49 A that is uniformly distributed over the cross-section of the
wire. What is the magnitude of the magnetic field at a point which
is 1.5 cm from the axis of the wire?

A long cylindrical wire (radius = 2.0 cm) carries a current of
49 A that is uniformly distributed over the cross-section of the
wire. What is the magnitude of the magnetic field at a point which
is 1.5 cm from the axis of the wire?
0.18 mT
0.44 mT
0.37 mT
0.49 mT

A long cylindrical conductor of radius 90cm carries a current.
The current density is not uniform over the cross section of the
wire, instead is is given as J = 10r2. Find the magnetic field in
terms of microT at a point 45cm. Note that you'll need to
understand the previous question to answer this one.

To practice Problem-Solving Strategy 28.2 Ampere's Law. A solid
cylindrical conductor is supported by insulating disks on the axis
of a conducting tube with outer radius Ra = 7.75 cm and inner
radius Rb = 5.05 cm. (Figure 1) The central conductor and the
conducting tube carry equal currents of I = 3.45 A in opposite
directions. The currents are distributed uniformly over the
cross-sections of each conductor. What is the value of the magnetic
field at a distance r...

Q.7 A cylindrical conductor with circular cross-section has
radius a and resistivity p and carries a constant current I in the
+j direction.
(c) What are the magnitude and direction of the Poynting vector
S at the same point ( just inside the wire at a distance a from the
axis)?
(d) Use the result in part (c) to find the rate of flow of
energy into the volume occupied by a length L of the conductor.
Compare your result...

A Coaxial cable consists of a solid inner cylindrical conductor
of radius 2 mm and an outer cylindrical shell of inner radius 3 mm
and outer radius 3.5 mm. A current of 15 A flows down the inner
wire and an equal return current flows in the outer conductor. If
we assume that the currents are uniform over the cross section of
the conductors, then calculate the magnetic field at a radius of
2.5 mm (use ampere's law) [A] 2.4...

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