Answer to part a the rectangular loop of wire shown in the figure figure 1 has a mass of 0. An infinite straight wire, located a distance l24 cm from segment ad of the loop as shown, carries current, 0. A rectangular wire loop length 60 cm, width 40 cm lies completely within a perpendicular and uniform magnetic field of magnitude of 0. A small, rectangular single loop of wire with dimensions l, and a is placed, as shown below, in the plane of a much larger, rectangular single loop of wire. Find the magnitude of the net magnetic force exerted by the long wire on the rectangular loop. Find the magnitude of the magnetic field parallel to the yaxis that will cause the loop to swing up until its plane makes an angle of 30. Derive an expression that gives the current in the loop at the instant the near side is a distance r from the wire.
What is the magnitude of the magnetic flux through the loop. Answer to 5 the area of a rectangular loop of wire is 3. The force on the rectangular loop of wire in the magnetic field in figure 22. When the switch is closed, the wires connected to the switch short out bulb 2 and it goes out. To better help visualize the diagram, the length b.
Rectangular loops of wire carrying current in the counterclockwise direction are each placed in an external uniform magnetic field as shown case 1 case 2 case 3 1 in which case will the loop rotate around the xaxis. The loop is then moved away from the wire at a constant speed v 3. The total electrical resistance of the wire loop is r, and an externally applied magnetic field, b, is directed out of the page. Chapter 23 magnetic flux and faradays law of induction. What are the magnitude and direction of the force on the rectangular loop due to the magnetic field of the wire. There will be no current because a changing magnetic flux is necessary to induce a current. This magnetic field passes through the loop and is the source of magnetic flux through the coil.
Part a what is the current in this loop if the maximum torque in a field of 0. In the figure, a rectangular loop of wire with length a 3. In the figure, a rectangular loop of wire with len. A long thin solenoid has 500 loops of wire per meter wound on an iron core, and a c 25 a current flows through the wire. Part a the rectangular loop of wire shown in the f. Rectangular loop near a wire an infinite straight wire carries a current i is placed above a rectangular loop of wire with widthw and length l, as shown in the figure below. A rectangular loop of wire carrying a current of 2. Magnetic force, torque, and magnetic moments objectives 1. A rectangular loop with width l and a slide wire with mass m are as shown in fig. If the loop is a circle of radius, the emf creates a uniform electric field along the loop of magnitude if the resistance of the loop of wire is, the induced current is by ohms law example. The magnetic eld along the two sides of the loop that. A rectangular loop of dimensions l and w moves with a constant velocity v away from a long wire that carries a current i in the plane of the loop see figure.
A rectangular loop of wire, with length l and height w, lies below the straight wire. Find the net force exerted by the magnetic field due to the straight wire on the loop. The loop is placed in a magnetic field that changes from 0. Determining the magnetic torque on a loop physics forums. The moving loop is partially inside a rectangular region where there is a uniform. A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0. Mathematically, here, a is a vector quantity with the magnitude equal to the area of the rectangular loop and the direction is given by the righthand thumb rule. The loop is a distance d 1 cm away from the long wire. The two short sides of the larger loop are so far from the smaller loop that their magnetic fields over the smaller fields over the smaller loop can be ignored. A rectangular loop of wire with sides h 36 cm and w78 cm carries cureat 1,0304a. The long wire and the rectangular loop are in the same plane. What affect, if any, does the current carrying wire have on the coil or wire. Module 05 05 magnetic interaction of a wire and a rectangular loop. To calculate the torque on a rectangular loop of currentcarrying wire sitting in an external magnetic field.
In the following figure, the rectangular loop of wire is being pulled to the right, away from the long straight wire through which a steady current i flows upward as shown. Both the loop and the wire are in the plane of the page, and the direction of the current is clearly indicated in the figure. Find the emf of electromagnetic induction in the loop thus formed as a function of y. As the loop slides by position 1, the flux through the loop is increasing and it is pointing. To use this calculator, just enter the required values and press the calculate button. Ch22interactive cutnell\johnson physics 8th edition. A rectangular loop with a sliding connector of length l is located in a uniform magnetic field perpendicular to the loop plane fig.
The force on the rectangular loop of wire in the magnet. Torque on current loop and magnetic moment derivation with. If the length of the loop starts increasing at a rate of 20 mms at time t 0, while the width is decreasing at the same rate, what is the magnitude. Calculate the magnitude and direction of the magnetic field produced at point p in fig. The loop is placed into a uniform magnetic field \\vecb in such a way that the sides of length a are perpendicular to \\vecb part a 1 figure, and there is an angle \\theta between. A long straight wire carries a current i1 30a, and a rectangular loop carries currenti2 20a.
The loop is in a region where the magnetic field is b 1. Two bulbs are connected to opposite sides of a rectangular loop of wire, as shown in fig. Derive an expression that gives the current in the loop at the instant the near side is a distance r from the wire figure p30. The gap on the lefthand side where the wires enter and leave the rectangle is so small that this side of the rectangle can be taken to be a continuous wire. A loop of wire in the shape of a rectangle of width w and length l and a long, straight wire carrying a current i lie on a tabletop as shown in the figure below a long, straight, horizontal wire carries current i toward the right. Answer to a rectangular loop of wire carrying a current of 2. An infinite straight wire, located a distance l 24 cm from segment ad of the loop as shown, catries caurrnt 052 a n the postive ydirection. Part b calculate the numerical value of the magnitude of the force, f1, on ab or part c express the magnitude of the. The field is uniform in the region shown and is zero outside that region. Answer to ii part of a single rectangular loop of wire with dimensions shown in fig. Magnetic field in the center of a rectangular wire. A rectangular loop of wire that can rotate about a. Ii a rectangular loop of wire is placed next to a str. Considering the shape of a rectangular loop in a changing magnetic field.
A rectangular loop of 270 turns is 33cm wide and 17cm high. A conducting rectangular loop of mass m, resistance r, and. Answer to a rectangular loop of wire with mass m, width w, vertical length i, and resistance r falls out of a magnetic field under. In this video i will find the magnetic field from a square current loop. The loop of wire will have a cw current to combat the increasing magnetic field out of the page. You have a rectangle with dimensions of length a and b ba with a uniform magnetic field only passing through this rectangle, into the page. It does not calculate inductance, impedance, or even q factor values since it is assumed that. A rectangular loop of dimensions l and w moves with a. Induced emf in rectangular loop of changing area in. Ii part of a single rectangular loop of wire with dim.
A uniform magnetic field \\vec b is directed perpendicular to the plane of the loop into the plane of the figure. A conducting rectangular loop of mass m, resistance r, and dimensions w by l falls from rest into a magnetic field b, as shown in figure p20. Pull a rectangular loop through a magnetic field i. The loop is placed in a magneticfield that changes from 0. A rectangular loop of wire with mass m, width w, v. You can specify which unit of measurement to use for the width, height and wire. A rectangular wire loop located in the plane of the page has a width l, and its length, x, is determined by the position a movable rail that forms the fourth side of the rectangle, as shown. The magnetic moment of a current loop can be defined as the product of current flowing in the loop and the area of the rectangular loop. The rectangular loop of wire shown in the figure figure 1 has a mass of 0.
A flat rectangular wire loop is positioned next to a long straight currentcarrying wire. A rectangular loop of wire carrying a current is perpendicular to a magnetic field. Forces and torques on currentcarrying loops a circular current loop of radius 2. A rectangular loop of wire lies in the plane of a long, straight wire carrying a. This tool is designed to calculate the inductance of a square loop of wire given its dimensions width, height and diameter of the wire used. A coil of wire that forms a complete loop is moving with a constant speed v toward a very long current carrying wire, only a portion of which is shown. A flat rectangular wire loop is positioned next to a long straight current carrying wire. Answer to a rectangular loop of wire carries a i 2. The loop of wire will have a ccw direction to help the decreasing magnetic field. Answer to ii a rectangular loop of wire is placed next to a straight wire, as shown in fig.
To start with the magnetic force on a moving charge q and derive the force on a wire segment carrying current i. Magnetic field from rectangular current loop physics forums. Since a rectangular loop is a combination of wires in series to create such a shape. Does the current induced in the loop flow in the clockwise sense or in the counter clockwise sense. A rectangular loop of wire with sides h 36 cm and w 78 cm carries curent 1,0.
Approximations and handbook methods power control and intelligent motion, december 1999, website. A rectangular loop of wire with sides h 36 cm and w78 cm carries current i,0. The length is parallel to the straight wire, and the top edge of the loop is a. Homework statement a current i flows in a plane rectangular current loop with height a and horizontal sides b. Answer to pull a rectangular loop through a magnetic field in the figure a rectangular loop of wire l 19 am long by h9 am high, w. Answer to the area of a rectangular loop of wire is 3. Electromagnetic induction and rectangular loop physics. The total electrical resistance of the wire loop is r, and an externally. A rectangular loop of wire that is 10cm wide and 26 cm. An infinite straight wire, located a distance l 24 cm from segment ad of the loop as shown, carries current i0. If you move a bar magnet toward a loop of wire, it causes. The magnetic field is directed into the plane of the figure. Write the equation to find the magnetic flux linking the rectangular loop.
A changing magnetic field confined to the smaller rectangular area as shown in the figure induces an emf in the loop that causes the two bulbs to light up. T he purpose of the calculator is to give you a quick overview of the feasibility of squeezing a loop into your available yard or apartment space. Top views of a currentcarrying loop in a magnetic field. Note that the perpendicular to the loop makes an angle.