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- Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the magnitude of the magnetic field at the center?The current loop shown in the accompanying figure lies in the plane of the page, as does the magnetic field. Determine the net force and the net torque on the loop if I=10and B=1.5T .(a) A small wire loop carrying current is placed next long straight current wire as shown in the diagram. Label direction of force acting on each side of the loop due to long wire as follows with arrowheads. Force on AB is F1, Force on BC F2, Force on CD F3. Force on DA F4. Label the direction of net force on ABCD as F. A (b) ABCD is a square with side 4 cm. Two long wires carry currents 10 A each goes through A and B perpendicular to plane of ABCD out of the page. Label the magnetic field at the center of the square due to wire at A as B1 and wire at B as B2. What is the direction of net magnetic field at the center?
- Design a current loop that, when rotated in a uniform magnetic field of strength 0.67 T, will produce an emf E = E, sin(wt), where E, = 110 V and w = 120n rad/s. First, choose the number of turns the loop should have. (Enter a positive integer less than 100.) turns Then calculate the needed area of the loop (in m2). (Use the number of turns you entered above.) m25. 4. Find the size and direction of the force per meter exerted on the bottom wire by the top 4. I-5A, in all wires. The distance between each wire is lcm. Also find the strength of the magnetic ield at the location of the middie wire. Foned THE BFIED AT LOCATION of N/m LdL0, r, 1 F/A= 2 WIRG preOaA TOP Due TOTHE UTHER 4- B= LdL0, 1, 1How much current is flowing in a wire 4.50 m long if the maximum force on it is 0.725 N when placed in a uniform 0.0850-T field?Express your answer to three significant figures and include the appropriate units.
- Consider the two parallel wires as illustrated holaw that hath anum. irront of Left wire a has current down, right wire b has ance (3.5x10^0) mA directed as indicated in the fig current upwards of (3.20x10^0) cm. What is the force on a 1 cm piece of the left cable, indicated by a in the figure? Give your answer in newtons (N) using scientific notation with a sign that indicates the direction along the x-axis. y X a ia d b ibÀ rectangular loop of wire is placed next to a straight wire, as shown in figure below. There is a current of 4.3 A in both wires. Take a = 6.0 cm, b = 11.0 cm and c = 3.0 cm. Determine %3D the magnitude and direction of the net force on the loop. (Choose toward wire direction as the positive and express the direction of the net force by using plus or minus signs in the result, which must be in multiples of 10 6 Newtons and includes 2 digit after the decimal point. That means if you get a result of a 9.22 x 10 6 and the direction of the net force is toward the wire, just type 9.22 or if you find the direction of the net force as opposite to the wire, just type -9.22 in the answer box. Maximum of 4% error accepted in your answer. Take vacuum permeability u o = 4T x 10-T/A 2 and n = 3.14.) %3D %3D a bFind the magnitude of the net force on a rigid square loop of wire of side, l, equal to 6.43 cm. The center of the loop is 10.8 cm from the wire and the loop carries a current of 10.0 A. Times your final answer by 106106, in units of N.
- In the figure below, a long straight wire carries a current of 4.2 A. Find the magnitude of the net force on a rigid square loop of wire of side, l, equal to 7.50 cm. The center of the loop is 10.70 cm from the wire and the loop carries a current of 10.0 A.An experimental device uses electrical energy to accelerate a projectile motion. Using dimensional analysis alone, what can you determine about how the accelerating force, F, depends on the current, I, if the only other quantities which need to be considered are the thickness of the rails, d, the distance between the rails,D, and the constant known as the permeability of free space, µo. 2 The value of uo is 47 × 10-7 N/A², so [µo] = . ML MLA ferromagnetic core with a relative permeability of 2200 is shown in Figure. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap?