Assume that the circuit in Figure 5(a) is now placed in a uniform magnetic fieldunder test. The inductor L2 in Figure 5(a) is now replaced by a Hall element shown inFigure 5(b). The depth of the Hall element is d, and its Hall coefficient is Ry. How canwe determine the magnitude B of the magnetic field with a voltage meter? Write downthe experimental procedure and show your derivation.lellL1R1►R2 L2メメFigure 5 (a)Figure 5(b)lell

Answered: Image /qna-images/answer/d9c5d6fe-286e-4f6d-bc46-73ec9059a67f.jpg

Answered: Assume that the circuit in Figure 5(a)…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 86CP: A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic...

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Consider the rectangular loop in the figure below, which is fixed and under the influence of a uniform time-dependent magnetic field B (t). Show that the potential difference e (epsilon) induced in the loop is given by e = Acosθ db / dt, where A is the area of the loop.
A rectangular loop of dimensions l and w, shown below, moves with a constantvelocity v away from a long straight wire that carries a current I0. The loop has a totalresistance of R. Derive an expression that gives the current in the loop at the instant the nearside is a distance r from the wire
A long, rectangular loop of width w, mass m, and resistance R is at rest, with the plane of the loop parallel to the ground. Immediately to the left of the loop is a region of uniform magnetic field B→ that points out of the screen. At time t=0, a constant force F→ pushes the loop to the left, into the magnetic field region, as shown in the figure. Derive an expression for the speed v of the loop immediately after it enters the magnetic field region in terms of the given variables and the time t.
Consider Farday’s Law and Ampere’s Circuital Laws. By expanding both of these curl equations and using the direction of the electric field component -y, what is the direction of the magnetic flux density vector B and the magnetic field intensity vector H?
A circular loop having a radius of R and having a current of current I was put in a uniform magnetic field with a strength of B and it is also pointing out of the page. An angle of 30° was made by the loop with respect to the positive x axis in such a way that the loop’s right hemisphere is above the xy-plane, whereas the left hemisphere is below. This is illustrated in the figure attached. From the choices, determine the loop’s potential energy and the magnitude of the torque it experiences.
USE THE FOLLOWING SYMBOLS FOR YOUR EQUATION: B = MANETIC FIELD, I= CURRENT, L = LENGTH OF WIRE, v = SPEED OF THE PARTICLE, q = magnitude of the charge, F = force, N = NO. OF LOOPS, Pi = Pi (use 3.14), u = permeability of free space, theta = angle, sin = sine Use any of these terms for your direction: out of the page, into the page, clockwise, counterclockwise, left, right, upward, downward PROBLEM: A solenoid of length 0.250 m and radius 0.0200 m is comprised of 120 turns of wire. Determine the magnitude of the magnetic field at the center of the solenoid when it carries a current of 15.0 A.
The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils, (a) Find tire magnetic field at any point on the z-axis shown in the accompanying figure, (b) Show that dB/dz and d2Bdz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially uniform magnetic field B. It has a fixed area and orientation relative to the magnetic fleck Show that the emf induced In the loop is given by i = (dB/dt)(Acos),where A is the area of the loop.
A circular loop of wire of radius 10 cm is mounted on a vertical shaft and rotated at a frequency of 5 cycles per second in a region of uniform magnetic field of 2 Gauss perpendicular to the axis of rotation, (a) Find an expression for the time-dependent flux through the ring, (b) Determine the time-dependent current through the ring if it has a resistance of 10
A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic field that is perpendicular to the area enclosed by the ring and horizontal to Earth’s surface. The ring is let go from rest when it is at the edge of the nonzero magnetic field region (see below). (a) Find its speed when the ring just exits the region of uniform magnetic field. (b) If it was let go at t = 0, what is the time when it exits the region of magnetic field for the following values: a=25cm,b=50cmB=3T , and g=9.8m/s2 ? Assume the magnetic field of the induced current is negligible compared to 3T.
Show that the expression for the magnetic field of a toroid reduces to tlrat for the field of an infinite solenoid in the limit that the cenmal radius goes to infinity.

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