A rectangular coil consists of N = 160 closely wrapped turns and has dimensions a = 0.400 m and b= 0.300 m. The coil is hinged along the yaxis, and its plane makes an angle ? = 30.0
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- The coil of an electric generator produces a maximum EMF of 55.00V when it is rotated at 330.0 RPM. How fast should it be rotated to produce a maximum EMF of 35.00V? Show the algebraic form of any equation(s) that you apply. Find the rotational speed and report it to the correct number of significant figures and with correct units.A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.25 cm consists of 500 turns of wire that carries a sinusoidal current I = Imay sin(@t), with = 45.5 A and a frequency f = w/2n = 60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as a function of time. Imax v) cos(wt) +R- Read It Need Help?32. An alternating current generator in the United Kingdom generates current with a frequency of 50 Hz. Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simple harmonic motion over time, write a model for the current I (in amperes) as a function of the time t (in seconds). The angular displacement 0 (in radians) of a pendulum swinging through a small angle with limited air resistance and internal friction can be approximated by the simple harmonic motion models 0 = a sin ot or 8 = a cos ot. The period T (time required for one back-and-forth swing) is given byT- 27 where L is the length of the pendulum and g is the acceleration due to gravity. The maximum angular displacement is |a| and positive angles are taken to the right of the center position. Use this information for Exercises 33-34.
- In the figure below, the conducting loop has fallen a short distance and is now falling at a constant velocity, vterminal. The loop has sides of length s=0.50 m, mass 30.0 g, and resistance R=1.00 Ω. If B=7.50 T and is directed into the page, answer the following question: Since the loop is moving at a constant velocity, there must be an equal force acting to hold the loop up. What current do you need to flow in the loop to produce this force? Also, use the induced EMF in this loop to determine terminal. Show all work and justify your answer.7A solenoid has a length = 11.34 cm, a radius a = 1.85 cm, and 1627 turns. The solenoid has a net resistance Rol = 144.9 2. A circular loop with radius b = 3.77 cm is placed around the solenoid, such that it lies in a plane whose normal is aligned with the solenoid axis, and the center of the outer loop lies on the solenoid axis. The outer loop has a resistance R = 1651.6 2. At a time t = 0 s, the solenoid is connected to a battery that supplies a potential Ɛ = 34.95 V. At a time t = 2.58 μs, what current flows through the outer loop? 1.4e-5 A x
- r=7.8cm N=50 Questions: Part 1: t=15s ; Find B=? Part 2: L=1m E=17v B=? (use B from part 1) Find: v=? (Velocity)Consult Multiple-Concept Example 11 for background material relating to this problem. A small rubber wheel on the shaft of a bicycle generator presses against the bike tire and turns the coil of the generator at an angular speed that is 45 times as great as the angular speed of the tire itself. Each tire has a radius of 0.326 m. The coil consists of 167 turns, has an area of 4.82 x 10-³ m², and rotates in a 0.0889-T magnetic field. The bicycle starts from rest and has an acceleration of +0.658 m/s². What is the peak emf produced by the generator at the end of 6.02 s? Number UnitsAn air-core solenoid has N = 1525 turns, d = 0.37 m length, and cross sectional area A = 0.066 m2. The current flowing through the solenoid is I = 0.764 A. Express the inductance of the solenoid, L, of the solenoid in terms of N, d, and A.
- 5. 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. The total resistance of the loop is R. Show that at the instant the near side of the loop is a distance r from the wire, the induced current in the loop is Hollv linduced 2nrR r+w he etdA toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.20 cm consists of 500 turns of wire that carries a sinusoidal current I = I sin(wt), with Iy = 47.5 A and a frequency f = w/2n = 60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as a function of time. v) cos(wt) a +R-The accompanying figure shows a single-turn rectangular coil that has a resistance of 3.50. The magnetic field at all points inside the coil varies according to B Boe-at, where - B₁ = 0.6 T and a = 250 s¯¹. What is the magnitude of the current induced in the coil at (a) t = 0.001 s, (b) t = 0.002 s, (c) t = 2.0 s? X X X Hint X X X X X X X 5.0 cm X X X X c. Current of induced in the coil at t = 2.0 s. X a. Current of induced in the coil at t = 0.001 s. b. Current of induced in the coil at t = 0.002 s. X B 2.0 cm mA is mA is mA is