Question

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 to the rate of generation of thermal energy in the same volume.

Answer #1

A straight conductor of cylindrical cross section and of radius
a carries a current I, which is uniformly
distributed over the conductor cross section. Find the magnetic
flux density within and outside the conductor.

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

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.

A cylindrical wire of radius R=2.3cm carries a current of I=5A
uniform distributed across its cross-section. Find an expression
(i.e. a formula) for the magnitude of the magnetic field created by
this current as a function of radius both inside and outside the
wire. Use this expression to determine the magnitude of the
magnetic field at the surface of the wire (i.e. at r=R). Denote
this magnitude by Bo. Is there a radius bigger than R where the
magnitude of...

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?

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.

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...

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

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 2 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 10 minutes ago

asked 19 minutes ago

asked 28 minutes ago

asked 48 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago