Three long straight wires are shown in the figure. Wire 1 carries 1.00 A of current downward along the line x = -8.00 m. Wire 2 carries 2.00 A of current upward along the line x = 0. Wire 3 carries 3.00 A downward along the line x = 5.00 m. a) Find the magnetic field at (-5.00 m, 0). ________________________ If a charged particle moves near these wires, its trajectory will be complicated, not a simple line, circle, or helix because the magnetic field in this region is not uniform. However, if we look at just the initial trajectory over a short time interval, before the particle has moved a significant distance, we can approximate the field as uniform. Let’s do that. b) If a -4.00 µC particle is moving with a velocity of 14.0 m/s out of the page when it is at (-5.00 m, 0), what is the force on the particle? Show work. ________________________ c) What shape of trajectory will it have? Explain how you know. ________________________ d) What is the radius of its motion? Write N/A if the motion is linear. ______
Ampere Circuital Law
Ampere's Law states that "for any closed loop path, the sum of the length elements times the magnetic field in the direction of the length element is equal to the permeability times the electric current enclosed in the loop.”
Current Density
To design the electrical and electronic system, the current density is an important factor. The designer current level is the factor on which the circuit performance depends and with the help of the dimensions of the conducting current the current density is then determined. For instance, despite the lower current demanded by smaller devices as integrated circuits are reduced in size, there is a type of trend in achieving the higher device number in even smaller chip areas. The current density is increased in this region at higher frequencies because the conducting region in a wire becomes confined and this is known as the skin effect. The consequences increase as the current densities become higher.
Three long straight wires are shown in the figure. Wire 1 carries 1.00 A of current downward along the line x = -8.00 m. Wire 2 carries 2.00 A of current upward along the line x = 0. Wire 3 carries 3.00 A downward along the line x = 5.00 m.
a) Find the magnetic field at (-5.00 m, 0). ________________________
If a charged particle moves near these wires, its trajectory will be complicated, not a simple line, circle, or helix because the magnetic field in this region is not uniform. However, if we look at just the initial trajectory over a short time interval, before the particle has moved a significant distance, we can approximate the field as uniform. Let’s do that.
b) If a -4.00 µC particle is moving with a velocity of 14.0 m/s out of the page when it is at (-5.00 m, 0), what is the force on the particle? Show work. ________________________
c) What shape of trajectory will it have? Explain how you know. ________________________
d) What is the radius of its motion? Write N/A if the motion is linear. ______
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