A varying current i(t) = t(10-t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance r from the wire is B = T. Furthermore, at the point P, B points away from the observer as shown in the figure. Hol 2кг Wire loop C Incorrect Φ(t) = Rectangular region R Volt meter Incorrect x=0 E. dr = B Calculate the flux (1), at time t, of B through a rectangle of dimensions L x H = 7 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are located in the same plane. (Use symbolic notation and fractions where needed. Let I = i(t) and express your answer in terms of μo and I.) 56 107 P = (x, y) y In (5) H Use Faraday's Law to determine the voltage drop around the rectangular loop (the boundary of the rectangle) at time t = 3. Assume μ = 4 . 10-7 T.m/A. (Use symbolic notation and fractions where needed.) x = L T.m² V Quest

A varying current i(t) = t(10-t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance r from the wire is B = T. Furthermore, at the point P, B points away from the observer as shown in the figure. Hol 2кг Wire loop C Incorrect Φ(t) = Rectangular region R Volt meter Incorrect x=0 E. dr = B Calculate the flux (1), at time t, of B through a rectangle of dimensions L x H = 7 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are located in the same plane. (Use symbolic notation and fractions where needed. Let I = i(t) and express your answer in terms of μo and I.) 56 107 P = (x, y) y In (5) H Use Faraday's Law to determine the voltage drop around the rectangular loop (the boundary of the rectangle) at time t = 3. Assume μ = 4 . 10-7 T.m/A. (Use symbolic notation and fractions where needed.) x = L T.m² V Quest

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 51P

See similar textbooks

Similar questions

When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0104 T. What is the radius of the loop?
Is B constant in magnitude for points that lie on a magnetic field line?
Magnetic Field Due to a Long, Straight Wire In a laboratory, you measure the magnitude of the magnetic field generated by a long, straight wire, and you plot your resultsB as a function of position r. Which of the graphs in Figure 31.15 best represents the magnetic field due to a long, straight wire?
A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?
How is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?
Two flat, circular coils, each with a radius R and wound with JV turns, ace mounted along the same axis so that they are parallel a distance d apart. What is the magnetic field at the midpoint of the common axis if a current I flows in the same direction through each coil?
Sketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).
A long, straight wire of radius R caries a current I that is distributed uniformly over the cross-section of the wire. At what distance from the axis of the wire is the magnitude of the magnetic field a maximum?
The magnetic field between the poles of a horseshoe electromagnet is uniform and has a cylindrical symmetry about an axis from the middle of the South Pole to the middle of the North Pole. The magnitude of the magnetic field changes as a rate of dB/dt due to the changing current through the electromagnet, Determine the electric field at a distance r from the center.
A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.
Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)
A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.