Phys216 lab 6

Two ideal solenoids of radii R and 4⁢R , respectively, have n turns per meter, and each carries a current of I. Both currents flow in the same direction. The small‑radius solenoid is placed inside the large-radius solenoid so that their axes of symmetry are parallel and separated by a distance d=2⁢R . Neglecting any magnetic screening effects, express the magnetic field strength on the axis of the small-radius solenoid analytically in terms of the quantities given and the magnetic permeability of a vacuum, μ0 .

An infinitely-long, hollow, conducting cylinder carries a uniform current I that flows parallel to its axis and into the paper. Its inner radius is a and its outer radius is b. Derive expressions for the magnetic field for (a) a < r < b and (b) r > b Note: See image for the figure.

A long, solid, cylindrical wire of radius A has a current density given by j = j0r/A. Determine the magnetic field, within the wire, in terms of the total current "I" flowing through the wire.

For the circuit shown in Figure:a. Determine the reluctance values and show themagnetic circuit, assuming that μ = 3,000μ0.b. Determine the inductance of the device.c. The inductance of the device can be modified bycutting an air gap in the magnetic structure. If a gapof 0.1 mm is cut in the arm of length l3, what is thenew value of inductance?d. As the gap is increased in size (length), what is thelimiting value of inductance? Neglect leakage fluxand fringing effects.

A long rigid wire carries a 3.0 A current flowing in the positive Y-direction in a device. If a constant magnetic field of magnitude 0.20T is directed along the positive X-axis, then suggest the magnetic force per unit length on the wire. If this wire is replaced by another wire of length 50 cm experience a magnetic field of 1.20T. Evaluate the magnetic force acting on it. Compare both results and conclude the observations. If there is no net charge in a current carrying wire, is it possible to experience a magnetic force by it? Explain your observation.

A current I circulates in the direction shown in the figure in a closed ring in the form of a right triangle with side lengths a. If this ring is placed at a distance 2a from a very long wire parallel to its long side and carrying a current of 2I, as shown in the figure, what would be the net magnetic force acting on the ring?

14 .Combining the equation for the convection current density and the equation relating the drift velocity and the electric field will yield:     the point form of Ohm's Law;     the equation relating the electron mobility and the mean time per collision;     the mathematical definition of current density;     (The answer cannot be found on the other choices.)

Experiments show that a steady current in a long wire pro duces a magnetic field that is tangent to any circle that lies in the plane perpendicular to the wire and whose center is the axis of the wire (as in the figure at the right). Ampère’s Law relates the electric current to its magnetic effects and states that C B dr 0 I where is the net current that passes through any surfacebounded by a closed curve , and is a constant called the permeability of free space. By taking to be a circle with radius , show that the magnitude of the magnetic field at a distance from the center of the wire is B 0 I 2pi r

The figure shows a cable through which a current I flows, which is composed of a straight segment of length L and parallel to the z axis, then a semicircular segment of radius R and contained in the xy plane, and then another segment of length L, parallel to the x axis. In all space there is a uniform magnetic field B (with arrow) = Bz (z with hat), find the total magnetic force on the three segments of the wire. (The answer must be expressed in terms of I, B, L and R)

As shown in the figure, two parallel conductors carry current in opposite directions. The current passing through one of the conductors is 10 A. If point A is the midpoint of the distance between the wires, point C is d/2 to the right of the wire carrying 10 A current. The distance d is given as 18 cm. If the current I is set so that the magnetic field at point C is zero, find the current I value and the magnetic field value at A.

6) A conductor, 500 mm long, is moved at a uniform speed at right angles to its length and to a uniform magnetic field having a density of 0.4 T. If the e.m.f. generated in the conductor is 2 V and the conductor forms part of a closed circuit having a resistance of 0.5 Ω, calculate: a) the velocity of the conductor in metres per second; b) the force acting on the conductor in newtons; c) the work done in joules when the conductor has moved 600 mm.

Consider viewing down on a square wire loop, side 25 cm, with an effective resistance of 20 Ω. The loop has a uniform magnetic field passing though it perpendicular to the loops’ area and pointing out of the page. The magnetic field strength changes from 3.2 T to 6.8 T in 0.5 s.(a) What is the magnitude of the induced current in the loop?(b) What is the direction of the current?

Within magnetic circuits, most of the structures are composed of a high-quality material permeability, which has the functionality to cause the magnetic flux to be directed to paths" Pre" delimited by this material structure. Within the electromechanical energy conversion processesw e find the application of magnetic materials in a multitude of devices and devices, and knowt he concepts that govern the operation of an apparatus or machine are part of the study regarding conversione lectromechanical energy. We know that transformers and electrical machines use materialsf erromagnetics to direct the magnetic flux and shape this “pre-established” magnetic field.K nowing this, you, engineer (a), should design a magnetic circuit consisting of a stack of ringsw ith a height of 2 cm wrapped around 65 turns. Consider an air gap area of ​​0.2 cm. Rings have radiusi nternal of 3.4 cm and the outer radius of couples rings is 4 cm. Suppose the magnetic flux present without materialf erromagnetic…

Suppose a piece of coaxial cable is made with a solid wire at the center. A metal cylinder has a common center with the wire and its radius is 3 mm. A 4 A current flows up the center wire and a 2.5 A current flows down the cylinder. Find the B-field at 5 mm from the center.

A superconducting wire of radius 1.2 mm carries current uniformly distributed through its cross section.If the total current carried by the wire is 5000 A, determine the magnetic energy per unit length of the wire.

2 very thin spherical shells are given as in the figure below. Let the loads with the inner shell load -Q and outer shell load + Q be uniformly distributed to these shells. What should be the electric field strength for the distance R inside the inner shell?

A long, cylindrical wire has the cross-section of an annulus, i.e. region between twoconcentric circles, see the shaded area in figure a). The outer radius of the wire is 2R, the innerdiameter is R. Current I flows along the wire (perpendicularly into the page) in uniform distributionbetween radii R and 2R. 1)Find and plot the magnitude of the magnetic field as a function of distance r from thesymmetry axis of the wire.2) Suppose now that the cavity of radius R is not coaxial with the outer surface of the wire, asseen in figure b). Find the magnetic field at point P located in the center of the cavity. The currentdistribution in the wire is assumed to be uniform, the value of current is I.

Apply the single charge particle model to “Non-uniform E field” case. Interchange the direction of B and E. Obtain the new drift, its magnitude, determine its direction; explain its result as well. This question is of plasma theory

A total charge of Q is uniformly distributed in a noncunducting sphere with a radius of R. A point charge with a total charge of -Q  is at the center of the sphere.  A. Derive an equation for the electric feild strength where r<R (in other words find the electric field strength when you at a radius less that R). B. Make a diagram and show the gaussian surface that was used to derive the equation

Q)In steady magnetic fields, can we define a potential function based on the current distribution from which the magnetic fields may be easily determined? Justify your answer.

A horizontal wire with a mass per unit length of 0.5 Kg/m carries a currentof 3Amperes in the +x direction. If the wire is placed in a uniform magneticflux densityB, find the minimum magnitude ofBin order to magnetically lift thewire vertically upward.

The magnetic field intensities inside and outside of a long and smooth conductor with a cross section radius are as follows. Accordingly, find the current densities J inside and outside the conductor. (Hint: Use cylindrical coordinates)