The picture above depicts a current loop of I = 30 A flowing in the direction indicated. The loop itself lies in the xy-plane in free space, and has edges at x = 1cm and x = 3cm, and y = 2cm and y = 5cm. For this configuration answer the following questions: (a) If there is an externally applied magnetic flux density
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- A loop of wire is located in the x-y plane within a magnetic flux density of B= î2 cos (6 - 10°t – 2x) µT. The loop is square with corners at (0, 0, 0), (5cm, 0, 0), (5cm, 5cm, 0), (0, 5cm, 0) and a resistance of 100 Q/m. Find the current in the loop.There is current I flowing in the clockwise direction in a square loop of wire that is in the plane of the paper. If the magnetic field B is toward the right, and if each side of the loop has length L,then the net magnetic torque acting on the loop is:Determine the torque acting on the rectangular loop of height l and width w in a constant external magnetic field B~ shown below with angle θ between the area vector and theexternal magnetic field. Show that the torque can be written as τ = m × B, where m = Ia is called magnetic dipole moment, I is the current in the loop, and a = wln is area vector for the area bounded by the loop. For this problem, take B = Bx and the sides of length l to be parallel and n perpendicular to the z-axis.
- A square loop 20cm on a side lies in the x-y plane and has a resistance of 50 Ω. The loop is in an external magnetic field given by B = 4e-3t at an angle of 30 degrees above the y-axis in the y-z plane. Find the magnitude and direction of the current flow at t = 2s.A rectangular loop of wire with dimensions 1.50 cm by 8.00 cm and resistance R = 0.600 is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude B = 3.50 T and is directed into the plane of figure, see below. At the instant when the speed of the loop is |v|= 3.00 m/s and it is still partially in the field region, what force (magnitude and direction) does the magnetic field exert on the loop?Consider the following figure. (a) A conducting loop in the shape of a square of edge length = 0.340 m carries a current I = 8.60 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. magnitude direction ---Select--- μT (b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? magnitude HT direction --Select---
- A single loop (N=l) of wire of radius r = 0.0300 m lies with its face parallel to the page. It is in an external uniform perpendicular magnetic field pointing OUT as shown in the diagram below by the dot surrounded by a circle ⊙. Suppose the external magnetic field magnitude is with rate △B/△t = 10.00 What is the area A of the wire loop? What is the magnitude IεI of the voltage induced in the wire loop ? The loop has resistance R = 40.0 Ω. What is the current I in the loop? In the figure below, indicate the direction of the current I, clockwise or counter-clockwise, in the loop. Draw a labeled curved arrow on the loop representing the current direction. In the figure below, indicate the direction of the induced magnetic field , in or out. Indicate this direction by drawing a labeled IN (×) or OUT ⊙ symbol within the circle.Two conducting semicircles, MN and MO, centered at points O and O, respectively, are placed on a horizontal plane. The radii of the two semicircles are 4 cm and 2 cm, respectively. The two semicircles are in electrical contact at point M. A uniform magnetic field nomal to the horizontal plane exists in the region enclosed by the two semicircles and the line ON, as shown in Figure 2. The magnitude of the magnetic field is B - 0.015 T. An ultrathin conducting rod has one end electrically connected to the smaller semicircle MO at point O, and is fixed at point O. The rod has a length equals to the radius of the larger semicircle, and it rotates clockwise around O at a constant angular velocity w = 50 z rad/s. During the rotation, the other end of the rod, labelled as P, is in good electrical contact with the larger semicircle MN. At t= 0, the end of the rod P is at point M. For 0srs, as the rod rotates, it is also in good electrical contact with the 20 smaller semicircle MO at some point…Q.A) A constantan wire of length 12 m and having a cross sectional area 1.4x10-4 m2 is converted into 3-turn circular loop. It is connected to a voltage of 0.160 V. If the loop is placed in a uniform magnetic field of magnitude 0.66 T at an angle of 64˚, then calculate torque in the circular loop? (The resistivity (ρ) of constantan= 49 x10 -8 Ω.m.)
- The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure shows half of this toroid, allowing us to see its cross section. If R >> r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximatelyA cube of edge length e = 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components B, = +7.0 T, B, = +2.0 T, and B, = +7.0 T. (a) Calculate the flux through the shaded face of the cube. T•m2 (b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? T•m²