A long solenoid has n=900 turns per meter and a current I = 3.2 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of Nc = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 2. (a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current Irms of the circuit. (d) Write the expressions for E and B generated by solenoid in the form E %3D 8 sin(kx – wt) and Bmax sin(kx – wt) with numerical values for Bmax» k, and w when the wavelength 2 = 50 = 4n x 10-7 T.m/A, c = 3 × 108 m/s) B m, and the period T=4 s. (µo Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 3.2 sin(wt). 1 = 3.2 sin(wt) V = 16 sin(wt) Variable resistor

A long solenoid has n=900 turns per meter and a current I = 3.2 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of Nc = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 2. (a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current Irms of the circuit. (d) Write the expressions for E and B generated by solenoid in the form E %3D 8 sin(kx – wt) and Bmax sin(kx – wt) with numerical values for Bmax» k, and w when the wavelength 2 = 50 = 4n x 10-7 T.m/A, c = 3 × 108 m/s) B m, and the period T=4 s. (µo Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 3.2 sin(wt). 1 = 3.2 sin(wt) V = 16 sin(wt) Variable resistor

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The current in a 62 mH inductor changes with time as I = bt- at. With a = 6 A/s and b = the magnitude of the induced emf, E, at 6 A/s, find t = 0.7 s. Answer in units of V. At what time is the emf zero?
A loop of wire has a self-inductance of 5.5 mH. You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?
A solenoid with an inductance = 8.0*10^-3 H carries current of 1.0 A. The current in the solenoid then decreases from 1.0 A to 0 A in 0.1 millisecond. What is the magnitude of the average induced EMF in Volts during this time interval?
You are to design an AC generator that has 800 circular windings, each with a radius of 1.75m. The generator is to produce a peak voltage of 12000V that oscillates with a frequency of 60Hz. What magnetic field should be used to accomplish this?
An 8 cm long solenoid has 71 windings and a circular cross section of radius a=1.4 cm. The solenoid goes through the center of a circular coil of wire with 40 windings and radius b=6 cm. The current in the circular coil changes according to i(t)=4t2+4.5t. What is the mutual inductance of the coil and solenoid? What is the magnitude of the emf induced in the solenoid at t=4 s?
A 2-turn planer loop of flexible wire is placed inside a long solenoid of n turns per meter that carries a constant current I0 . The area A of the loop is changed by pulling on its sides while ensuring that the plane of the loop always remains perpendicular to the axis of the solenoid. If n = 500 turns per meter, I0 = 20 A, and A = 20 cm2, what is the emf induced in the loop when dA/dt = 100?
Two coils are wound around the same cylindrical form,like the coils . When the current in the first coilis decreasing at a rate of -0.242 A/s, the induced emf in the secondcoil has magnitude 1.65 * 10^-3 V. What is the mutual inductance of the pair of coils?
A solenoid of length 3.70 cm and diameter 0.760 cm is wound with 272 turns per centimeter. A) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in one of the windings? B) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in the entire solenoid?
Two coils have mutual inductance M = 3.25 * 10^-4 H.The current i1 in the first coil increases at a uniform rate of 830 A/s.What is the magnitude of the induced emf in the second coil? Is it constant?
Remove the inductor from the circuit in the figure and set R = 216 Q, C = 18.6 µF, fd = 60.0 Hz, and &m = 36.0 V. What are (a) Z, (b) , and (c) I? 90 R L 000 (a) Number Units (b) Number Units (c) Number Units
Problem 1. The wire is moving to the left with a linear velocity of 10 m/s as shown. Determine the magnitude and direction of the emf induced in the wire. Include a brief explanation. X X 45° Xv = 10 m/s 1=0.25 m X, X B= 02 T, into the page XE X