Determine the basic term of heat capacity for a ferro magnetic material which is having low temperatures. Consider the magnon dispersion relation as @= Ak².
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- An infinitely long cylindrical plasma-type conductor lying on the z axis with its center is located at the origin. The radius of the cylinder is a and the current density is defined by J =ez Jo/ρ where Jo is a constant and ρ is the variable radial distance. Write the expression for magnetic field intensity (H )for,(a) 0 ≤ ρ ≤ a .(b) a < ρ.Recall that the magnetic fi eld at the surface of a uniform cylindrical wire of radius R carrying a current I is Find the minimum possible diameter for a wire of pure niobium so that the T = 0 critical fi eld would not be exceeded if the wire carried a current of 2.5 A.(a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under steady-state conditions if the boundary is insulated. (b) Find the value of Tmn if you know that Tm, n+1= 12 °C, Tm, n-1 = 8 °C, Tm-1, n = 10 °C, Ax = Ay = 10 mm, and k = W 3 m. k Av m-1.n 1 m, n-1 The side insulated
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- An infinitely large plate has uniform surface charge density +o where o is a positive number. The plate moves with speed v along the x-direction. Since the charges are moving with the plate, they form a uniform two dimensional surface current density K whose value is |K| by a line of length L is I = |K|L. See Fig. 2(A) below. = ov. Namely, the electric current I passing (A) K X (B) (C) +o V V Ampere loop FIGURE 2 (a) By symmetry, the value of magnetic field B due to the current K above or below the plate is the same, and B is obviously parallel to the plate. In which direction is B pointing above the plate? Below the plate? (b) Find the value of the magnetic field B above or below the plate by Ampere's law, using the rectan- gular Ampere loop shown in the Fig. 2(B). Again, by symmetry, the values of B must be the same above or below the plate, and it must be a constant that only depends on |K| and v. Hint: Compute S B · dl´along the four segments of the Ampere loop and pay attention if…The paramagnetic susceptibility of one mole material-X (insulator) at 300 K is 316.25 x 10-5 (or 2.516 x 103 by take into account of the permeability of free space). Its molecular weight is 154.7 and density is 4.4 mg/m3. Compute the effective magnetic moments of material-X in terms of the Bohr magneton.Discuss the current conduction in n-type and p-type conductors.
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