If two infinite, parallel, z-directed wires of radius “a” lie at x = b/2, y = 0 for one wire and x = -b/2, y = 0 for the other wire. The wires are separated by a center-to center distance “b” where b >> a and the entire system is in a vacuum.
Find: (10) The magnetic field at a distance “d” where d >> b for a current of I in one wire and -I in the other wire. d is any arbitrary point
(20) The capacitance per unit length between the wires.
(20) The inductance per unit length between the wires.
If two infinite, parallel, z-directed wires of radius “a” lie at x = b/2, y =...
Two long (infinite) wires are placed in the x-y plane parallel to one another. One is placed on the x axis and the current in that wire is 14 amps running in the +x direction. The other wire is placed at y = +2.6 meters (2.6 meters "above" the first wire, in the x-y plane). The second wire has a force per unit length of 24 x 10-7 N/m in the -y direction. Where, on the y axis, is the...
1.Two long parallel wires, each carrying a current of 9 A, lie a distance 23 cm from each other. (a) What is the magnetic force per unit length exerted by one wire on the other? 2.OTwo long parallel wires, each carrying a current of 2 A, lie a distance 19 cm from each other. If the distance between the wires is doubled, (a) by what multiplicative factor is the force per unit length changed? 3. Two long parallel wires, each...
Consider two long, parallel and oppositely charged wires of radius Y with their centers separated by a distance D (D>>r). The charges are uniformly distributed strictly on the surface of each wire, with a line charge density A. Using Gauss's Law, derive an expression for the total electric field in the space between the two wires. ((1) consider each wire individually and then add the individual contributions; (2): the wires'length extends to infinity, and thus the two wires can be...
.Refer to diagram 1 Two identical "infinite" wires lie in the x-y plane and are parallel to the x-axis: - Wire 1 is a = 8.67 mm lies above the axis, and is fixed so it cannot move. - Wire 2 is b = 6.59 mm below the axis, and is free to move up and down. Wire 1 carries current I1 = 52.9 A. Both wires carry current in the positive x-direction, and the mass of 1 m of...
Two long (infinite) wires are placed in the x-y plane parallel to one another. One is placed on the x axis and the current in that wire is 43 amps running in the +x direction. The other wire is placed at y = +3.1 meters (3.1 meters "above" the first wire, in the x-y plane). The second wire has a force per unit length of 27 x 10-7 N/m in the +y direction. At the point x = 0, y...
5) Find the capacitance per unit length of two parallel wires, each of radius R, separated by some center-to-center distance D. Note that this can be easy or hard depending on whether you're exact or not. The exact approach is to explicitly deal with the fact that the charge distribution on the one wire will affect the charge distribution on the other wire, leading to nonuniform charge distributions on each. The much-easier-but-still-pretty-good approach is to neglect that effect and treat...
Two long conductors lie in the x-y plane and run parallel to the x-axis. The first wire is at y = 0 cm and carries a current of 10 A, directed in the + x-direction. The second wire is at y = 25 cm and carries a current of 25 A, directed in the – x-direction. a.) Use Ampere’s Law to find the magnetic field at wire 1, due to the current in wire 2. b.) What is the force...
10. Consider two long, parallel, and oppositely charged wires of radius R with their centers separated by a distance D that is much larger than R. Assume that the charge is uniformly distributed on the surface of each wire. Following the steps outlined in problem 9, (a) express the electric field, in unit vector notation, between the two wires, but outside either wire. (b) Work out the voltage difference between the surfaces of the wires. (c) Derive an expression for...
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-22 cm, 0) carries current I1 = 3.1 A in the negative z-direction. The wire at (x,y) = (22 cm, 0) carries current I2 = 0.7 A in the positive z-direction. The wire at (x,y) = (0, 38.1 cm) carries current I3 = 6.3 A in the positive z-direction. 1. What is Bx(0,0), the x-component of the magnetic field...
3) Three long parallel conductors carry equal currents of I= 5 Amperes. The wires are separated by a neighboring wire from a distance of a = 20 cm. a a а i) Find the magnitude and direction of the magnetic field in the center of the equilateral triangle formed by the three wires. (10 pts) ii) Find the net force per unit length exerted on the bottom left wire due to the other two wires. (10 pts) iii) Find the...