Consider a straight non-magnetic conductor with circular cross-section and a radius a carrying a current I in the vertical direction. Using Ampere’s law find the magnetic field inside and outside the conductor.
Consider a straight non-magnetic conductor with circular cross-section and a radius a carrying a current I...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0) directed out of the page. The line integral of the magnetic flux density vector B, along a closed circular contour C positioned inside the conductor (the contour radius r is smaller than the conductor radius a) is conductor
2) Consider an infinitely long circular hollow cylinder of radius a, carrying a surface current density/.-Id. Using Ampere's law, find the magnetic field intensity ll inside the cylinder. Assume the magnetic field ii - 0 outside the cylinder.
6. A long straight wire with circular cross section and radius 1.5 cm carries a 1.2 A current uniformly distributed throughout the wire. a) What is the current density in the wire? b) What is the magnetic field as a function of r at a point inside the wire? c) What is the magnetic field as a function of r at a point outside the wire?
A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction. (a) Find the vector current density J. (b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c). (c) Find B inside the hollow interior(r<b). (d) Find B in the conductor(b<r<c).
Suppose you have a circular cross sectional wire with radius R,
a resistivity of ρ, and that is carrying a uniformly distributed
current of I(t) = I0 cos(ωt) (notice it changes in time).
a) Find the electric field that is generating this current using
the proper form of Ohm’s Law.
b) Find the magnetic field outside of the wire that is generated
by the current and the time changing electric field combined.
Question 2: Suppose you have a circular cross...
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...