The magnetic field inside wires
In a regular household wire, current I flows (uniformly!) down a
long straight conducting wire of radius R. Assume the metal is a
"magnetically linear" material, and find the magnetic field
B as a function of distance s from the center of
the wire (both inside and outside the wire)
What are all the bound currents in this problem? (Check yourself by
verifying that the total bound current is zero)
What can you say about the magnetic field when you take into
account susceptibility - consider both Cu wire and Al wire, what
happens in both cases? Would it have mattered much if we had
treated this problem like a "Chapter 5 problem" and totally
neglected the susceptibility of the wire? Would your answer change
much if this was a current flowing inside a human body (where the
conductive material is basically water)?
The magnetic field inside wires In a regular household wire, current I flows (uniformly!) down a...
a) In a regular household wire, current I flows (uniformly!) down a long straight con- ducting wire of radius R. Assume the metal is a "magnetically linear" material, with magnetic susceptibility Xm. Find the magnetic field B (magnitude and direction) as a function of distance r from the center of the wire (both inside and outside the wire). b) Compute the total bound current per length of the rod. (Include both volume and surface bound currents.) c) What can you...
PROBLEM 02.03 A uniform steady current / flows down a straight, infinitely long, non-magnetic wire of radius a. The wire is imbedded in a non-conducting, infinite linear medium with relative permeability p Find the magnetization MC), the magnetic field B(), the field H), and all the bound currents as functions of the radial distance r from the wire's axis.
The magnetic field 37.0 cm away from a long, straight wire carrying current 9.00 A is 4860 µT. (a) At what distance is it 486 µT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 9.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 37.0 cm away from the middle of the straight cord, in the plane of the two wires. How far is the...
The magnetic field 43.0 cm away from a long, straight wire carrying current 9.00 A is 4190 UT. (a) At what distance is it 419 HT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 9.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 43.0 cm away from the middle of the straight cord, in the plane of the two wires. nt (c) At what distance...
The magnetic field 37.0 cm away from a long, straight wire carrying current 7.00 A is 3780 nT. (a) At what distance is it 378 nt? cm (b) At one instant, the two conductors in a long household extension cord carry equal 7.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 37.0 cm away from the middle of the straight cord, in the plane of the two wires. ni (c) At what distance...
The magnetic field 41.0 cm away from a long, straight wire carrying current 4.00 A is 1950 nT. (a) At what distance is it 195 nT? _____ cm (b) At one instant, the two conductors in a long household extension cord carry equal 4.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 41.0 cm away from the middle of the straight cord, in the plane of the two wires. __________ nT (c) At...
The magnetic field 39.0 cm away from a long, straight wire carrying current 4.00 A is 2050 nT. (a) At what distance is it 205 nT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 4.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 39.0 cm away from the middle of the straight cord, in the plane of the two wires. nT (c) At what distance...
4) A wire is carrying a current of I and it is placed in a magnetic field of B, the force on the wire is zero if: A) The length of wire is infinite. B) If there is a non-zero angle between magnetic field B and current I. C) The direction of the current and magnetic field are perpendicular. D) The current and magnetic field are parallel. E) There is a 90 degree angle between current direction and magnetic field...
4) A wire is carrying a current of I and it is placed in a magnetic field of B, the force on the wire is zero if: A) The length of wire is infinite. B) If there is a non-zero angle between magnetic field B and current I. C) The direction of the current and magnetic field are perpendicular. D) The current and magnetic field are parallel. E) There is a 90 degree angle between current direction and magnetic field...
Problem 5: A 5 cm long wire is in a uniform magnetic field of 4T, so that current in the wire is perpendicular to the magnetic field. The wire is connected to a 10 ohm resistor in series, so that the resistance of the wire is negligible. The wire and resister are then connected in series to a charged 1500mF capacitor at 50 kV. A: What is the current through the wire as function of time, with t-0 being when...