The figure shows a 323-turn loop of radius 11.5 cm carrying a current of 6.6 A in the xy-plane. Calculate the z-component of its magnetic dipole moment. Z R I
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N=323
R=0.115 m
i=6.6 Ampere
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- Find the magnetic dipole moment of the current loop given in the figure. A) Ia² (-i-1-k) B) Ia² (ik) C) la² (-1) D) Ia² (-k) E) la¹(-i-j+ k)You are designing a new solenoid and experimenting with material for each turn. The particular turn you are working with is a circular loop of radius 5.00 cm that carries a current of 15.0 A. Calculate the magnetic field B at the center of the loop. Use 4 × 10-7 T-m/A for the permeability of free space μo. Consider the coordinate system in the figure. B = Incorrect D 21 L. TA small rod magnet has a magnetic field at a distance from it as large as Hom B = 2nz3 Where z is the distance from the magnet on the axis connecting the north pole and south, m is the moment of magnetic dipole. Assuming electrons orbit protons like small rod magnets, determine the m magnetic dipole of an electron orbiting an atom.
- A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)] (a) Verify that A =Bxr is a vector potential for B, where r = (x, y, 0) (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. F B FIGURE 17 A = (8,0,4), B (8,5,0), C = (0,5,0), D = (0,0,4), F = (8,0,0) Flux(B) = -40bChapter 29, Problem 057 A student makes a short electromagnet by winding 430 turns of wire around a wooden cylinder of diameter d = 4.5 cm. The coil is connected to a battery producing a current of 3.1 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z >> d will the magnetic field have the magnitude 7.0 µT (approximately one-tenth that of Earth's magnetic field)?What is the magnitude of the current in the coil and is it to the left or to the right?