Problem 4: A copper wire carries a steady current of 125 A to an electroplating tank. Find the magnetic field caused by a 1.0 cm segment of this wire at a point 1.2 m away from it, if the point is (a) point P, straight out to the side of the segment, and (b) point P₂, on a line at 30° to the segment.
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- An ideal toroidal solenoid has an inner radius of 14.5 cm and outer radius of19.0 cm. It carries a current of 0.500 A and has 9500 number of turns. Find themagnetic field strengths at distances 15.0 cm and 20.0 cm from the center of the solenoid.A parallel-plate capacitor with circular plates of radius R = 16 mm and gap width d = 5.0 mm has a uniform electric field between the plates. Starting at time t = 0, the potential difference between the two plates is V ohm (100 V)e=t/t, where the time constant t = 12 ms. At radial distance r = 0.80R from the central axis, what is the magnetic field magnitude (a) as a function of time for t >- 0 and (b) at time t = 3t?In a nonmagnetic material electric field intensity is given by E =16 cos(4*108t- 2x) ay V/m The relative permittivity of the medium will be?
- Given the following arc of current,find the angle of the arc such that theB-field at the center point is 1.26 x10-5 T, the radius 12 cm, and thecurrent 7 AA certain commercial mass spectrometer is used to separate uranium ions of mass 3.92 × 10-25 kg and charge 3.20 × 10-19 C from related species. The ions are accelerated through a potential difference of 107 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 0.961 m. After traveling through 180° and passing through a slit of width 0.766 mm and height 1.48 cm, they are collected in a cup. (a) What is the magnitude of the (perpendicular) magnetic field in the separator? If the machine is used to separate out 0.795 mg of material per hour, calculate (b) the current of the desired ions in the machine and (c) the thermal energy produced in the cup in 1.07 h.A very long, straight current-carrying wire is bent at the middle two different ways, sothat it takes the shapes depicted in figures a) and b). Find the direction and magnitude of themagnetic field in both cases at the center C of the semicircle (of radius R = 10 cm), if the currentflowing in the wire is I = 2 A.
- The figure below shows a cylindrical conductive shell carrying current I to the right. The current density (non-uniform) in the conductor is given by J=c(r−R1) for the region R1<r<R2, where c is a constant. What is the magnitude of the magnetic field at a radial distance rA inside the conductor.Multiple-choice question: As shown in the figure, there is an infinitely long flat conductor piece of width a and regardless of thickness, through which a uniformly distributed current I flows, and is on the right side of the conductor pieceThere is a point P coplanar with the conductor sheet at edge b, then the magnetic induction intensity B of point P isIn the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10). Half-space z <0 is from a material with relative magnetic permeability µr = 5. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).
- Find the current density as a function of distance r from the axis of a radially symmetrical paralel stream of electrons if the magnetic induction insidethe stream is constant B(r) = B0.A current with a constant current density of Js= 1/π (A/m²) in the +z direction through the wire of radius a= 2 m, inside radius = 3m. And from the infinitely long cylindrical shell with a tooth radius of c=4m, a constant I=4 Ampere current flows homogeneously in the -z direction. Accordingly, using the Ampere formula, calculate the magnetic field in the regions r <a, a<r<b, b<r<c , and r>c.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.