A long solenoid has n = 420 turns per meter and carries a current given by I = 33.0(1 - e-1.60t ), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (see figure below). What emf is induced in the coil by the changing current? (Use the following as necessary: t. Assume E is in mV and t is in seconds.) .078e¬1.60t n turns/m o0000oco00o000000000

A long solenoid has n = 420 turns per meter and carries a current given by I = 33.0(1 - e-1.60t ), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (see figure below). What emf is induced in the coil by the changing current? (Use the following as necessary: t. Assume E is in mV and t is in seconds.) .078e¬1.60t n turns/m o0000oco00o000000000

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 10P

See similar textbooks

Similar questions

The magnetic field through a square loop of wire with sides of length 3.00 cm changes with time as shown in Figure P32.8, where the sign indicates the direction of the field relative to the axis of the loop. Plot the emf induced in the loop versus time. FIGURE P32.8
A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00 cm consists of N = 500 turns of wire that carry a sinusoidal current I = Imax sin t, with Imax = 50.0 A and a frequency f = /2 = 60.0 Hz. A coil that consists of N = 20 turns of wire is wrapped around one section of the toroid as shown in Figure P30.9. Determine the emf induced in the coil as a function of time. Figure P30.9
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 Figure P23.7. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the emf that is induced in the loop if b = 10.0 A/s, h = 1.00 cm, w = 10.0 cm, and L = 1.00 m. (c) What is the direction of the induced current in the rectangle? Figure P23.7
A bar magnet is held in a vertical orientation above a loop of wire that lies in the horizontal plane as shown in Figure OQ23.13. The south end of the magnet is toward the loop. After the magnet is dropped, what is true of the induced current in the loop as viewed from above? (a) It is clockwise as the magnet falls toward the loop. (b) It is counterclockwise as the magnet falls toward the loop. (c) It is clockwise after the magnet has moved through the loop and moves away from it. (d) It is always clockwise. (e) It is first counterclockwise as the magnet approaches the loop and then clockwise after it has passed through the loop.
A very long, straight solenoid with a cross sectional area of 1.92 cm2 is wound with 92.1 turns of wire per centimeter. Starting at t=0, the current in the solenoid is increasing according to i(t) = (0.180 A/s2)t2. A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross sectional area as the solenoid. What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A ? |E| = ________
A long solenoid has n = 400 turns per meter and carries a current given by I = 30.0(1 −e−1.60t), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (Fig. P30.4). What emf is induced in the coil by the changing current?
A solenoid with 1200 turns per meter has a diameter of 2.00 cm. A current I = 2.40 A flows in the counterclockwise direction in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. (a) Find the magnitude of the magnetic flux through the loop. (b) When the current is increased to 5.58 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value?
A solenoid with 1200 turns per meter has a diameter of 7.00 cm. A current I = 2.35 A flows in the counterclockwise direction in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. (a) Find the magnitude of the magnetic flux through the loop. Wb(b) When the current is increased to 5.51 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value? ms(c) What is the direction of the induced current in the rectangular loop as viewed from the location P? counterclockwise clockwise no current
A solenoid with 1200 turns per meter has a diameter of 2.00 cm. A current I = 2.47 A flows in the counterclockwise direction in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. (a) Find the magnitude of the magnetic flux through the loop. Wb(b) When the current is increased to 5.36 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value? ms
A conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswer
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?