7. A sheet of copper foil 1 mm thick, 5 cm wide and 1.75 m long is connected to a voltage source as shown. There is a magnetic field B = 2.5 T into the page. Assume copper has conductivity o = 5.96 x 107 mho/m and a charge carrier density n = 1028 electrons/m³. a) What is the current density J in the foil? b) What is the Hall voltage as measured by the voltmeter? c) Which point is at a higher potential, a or b? Voltmeter 20 V
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- Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a 0.500-V output for blood moving at 30.0 cm/s in a 1.50-cm-diameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (C) Which premise is responsible?a) What would the Hall voltage be (in µV) if a 2.40 T field is applied across a 13-gauge copper wire (1.829 mm in diameter) carrying a 22.0 A current? (Assume the free charge density of copper is 8.342 ✕ 1028 e−/m3.) b)A mirror hangs 1.62 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the floor 1.12 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the wall. What is the change in the angle of elevation of the Sun, between the two observations? c)Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.45. What time in nanoseconds is required for a signal to travel 0.180 m through such a fiber?Q3: 42. Find and graph the charge q(t) and the current i(t) in the LC-circuit in Fig. 151, assuming L 1 H, C = 1 F, v(t) = 1 - e-t if 0 T, and zero initial current and charge. v(t) Fig. 151. LC-circuit
- 6.0 A current flows through a 5.0 m thin and straightconductor wire. What is the magnitude of themagnetic field (in unit of nT) at a distance above4.0 m from the midpoint of the wire.(Take µ0 =4πx10−7 T.m/A )A closed curve encircles several conductors. The line integral PB.dL around this curve is 3,83x104 T.m (a) What is the net current in the conductors? (b) If you were to integrate around the curve in the opposite direction, what would be the value of the line integral? Select one: lenci=D 305 A, 0.0 T.m lencl = 502 A, -3.83 x 10 4T.m lenci = 502 A, -7.66 x 104 T.m lencl = 600 A, -7.66 x 104T.m lencl = 305 A, -3.83 x 10 4 T.m lencl = 502 A, 0.0 T.m %3Da. b. For a current distribution in free space, Ã= (2x²y + y²)⸠+(xy² − xz³)â‚ − (6xyz – 2x²y²)⸠Wb/m . Show that A is a Maxwell's equation. Justify your answers. An x-y plane is an interface between two media. The interface carries current of 1/μ â, mA/m. The relative permeability for the regions are 6 and 4 respectively. The magnetic flux density of region with relative permeability of 4 is 5⸠+8â mWb/m². i. Sketch the interface between the two medium. ii. Analyse the media to determine the magnetic fields for both regions and magnetic flux density in the region with relative permeability of 6.
- 5. An AC appliance cord has its hot and neutral wires separated by 3.35 mm and carries a root mean squared current of 4.10 A. What is the average force per meter (in N/m) between the wires in the cord? (Enter the magnitude.) N/m What is the maximum force per meter (in N/m) between the wires? (Enter the magnitude.) N/m Are the forces attractive or repulsive? Do appliance cords need any special design features to compensate for these forces?If a current I=15 A is distributed uniformly over the conical surface of angle 0=60° as shown below, the value of the surface current density K at (r=4,8360°,p%330°) is a. 0.69 A/m O b.4.13 A/m Oc.2.76 A/m d.0.52 A/m e. 6.20 A/m f. 1.72 A/mPr3. A long, cylindrical wire has the cross-section of an annulus, i.e. region between two concentric circles, see the shaded area in figure a). The outer radius of the wire is 2R, the inner diameter is R. Current I flows along the wire (perpendicularly into the page) in uniform distribution between radii R and 2R. a) b) ×I R R P 2R 2R a) Find and plot the magnitude of the magnetic field as a function of distance r from the symmetry axis of the wire. b) Suppose now that the cavity of radius R is not coaxial with the outer surface of the wire, as seen in figure b). Find the magnetic field at point P located in the center of the cavity. The current distribution in the wire is assumed to be uniform, the value of current is I.
- A. What is the current in the current loop? B. What is the current density J in the current loop? C. To decide whether this is a large or a small current density, find the ratio of the current density J in the current loop to the current density of a 8.0 A current in a 1.6- mm diameter wire. Express your answer using two significant figures.a.Find H in rectangular components at P(3,4,2) If there is a current filament on the z axis carrying 5 mA in the az direction. b. Repeat if the filament is located at x = -1, y = 2. (c) c. Find H if both filaments are present.Question: V Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to an ammeter, voltmeter and a voltage source. The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n. Part 1) Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i. vd = Part 2) Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of ¿, not v. F= Part 3) The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the…