Two concentric cylinders of radius ra and rb, (ra < rb), are uniformly loaded with q and -2q loads, respectively. Compute the field for (a) r < ra, (b) ra < r < rb and (c) r> rb.
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![3) Dois cilindros concêntricos de raio rae rb, (ra< rb), estão carregados uniformemente
com cargas qe -2q, respectivamente. Calcule o campo para (a) r < ra, (b) ra <r <rb e (c)
r>rb.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ac7a2be-13b1-4faf-969f-ef319dcfd867%2F18203828-7914-4a38-9749-b5b5e95a9dd4%2Ffryyzxn_processed.png&w=3840&q=75)
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- In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? I need this in units of mT.Problem 2 Show that in a current-free volume of space, a static magnetic field can never have a local maximum by considering V(B· B) · da, where S is the surface of a small volume V containing a point P in space.The magnetic dipole moment of the nickel atom is about 5.6 x 10-24 A· m2. (a) Calculate the maximum magnetic dipole moment (in A •m²) of a domain consisting of 1019 nickel atoms. A: m2 (b) What current (in A) would have to flow through a single circular loop of wire of diameter 2.2 cm to produce the magnetic dipole moment you calculated? A
- Consider two infinitely long and parallel wires separated by distance d and carrying currents I₁ = -12. (a) Find the magnitude and direction of the vector potential A(r1,72) at a point P where r₁ and r2 represent the distances to P from wire 1 and wire 2 respectively. (b) What is the magnitude of A for r₁ = r₂? (c) What is the value of the magnetic field B for r₁ = r₂? (d) Given that B = V x A, how can you reconcile the answers to (b) and (c) above?If an electron in an atom has an orbital angular momentum with m₁ = 4, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m₁ = -2, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy orb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number امل Number Hi Units Units > >b) A conductor lies in a magnetic field. The current flowing through the conductor is I = (5,9,4). The magnetic flux density is B = (–2, 4, 6). Calculate the electromagnetic force acting on the conductor by F = I x B.
- You have a square loop with each side of length 'a' and a circular loop with radius 'a'. Both of these loops lie in the x-y-plane, where there is a uniform magnetic field B pointing at some angle 0 with respect to the positive z-direction. Each loop has the same number of coils and carries the same current, in the same direction. Therefore, the ratio of magnetic moments (u) in the loops, [square] / [circular] = O 1/ T O T 14 O 4/ TAssume that the magnitude of the magnetic field outside a sphere of radius R is B = Bo(R/r)2, where Bo is a constant. Determine the total energy stored in the magnetic field outside the sphere and evaluate your result for Bo = 5.00x 10-5 T and R = 6.00x 106 m, values appropriate for the Earth's magnetic field.