A long, straight current carrying solenoid creates a uniform magnetic field B= 12 mTinside itself when the current is I = 26 Aa) Calculate the number of turns per unit length, n, where the total number of turns is N1.Turns per unit length, nGive your answer to at least three significance digits.b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l = 32 cmand the diameter isd = 14 cmcalculate its self inductance L1.Self inductance, L,Give your answer to at least three significance digits.F

The magnetic field inside a straight solenoid is given by the formula: B = μ0nI…

Answered: A long, straight current carrying…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 46P: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform...

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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 long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t)=I0sin(t) , where I0and are constants. The solenoid is surrounded by a wire of resistance R that has two circular- loops of radius b with b>a (see the following figure). Find the magnitude and direction of current induced in the outer
A wire of length 1.0 m is wound into a single-turn planar loop. The loop carries a current of 5.0 A, and it is placed in a uniform magnetic field of strength 0.25 T. (a) What is the maximum torque that the loop will experience if it is square? (b) If it is circular? (c) At what angle relative to B would die normal to the circular coil have to be oriented so that the torque on it would be the same as the maximum torque on the square coil?
Does self-inductance depend on the value of the magnetic flux? Does depend on the current through the wire? Correlate your answers with the equation N=LI
Explain why the magnetic field would not be unique (that is, not have a single value) at a point in space where magnetic field lines might cross. (Consider the direction of the field at such a point.)
Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire pet centimeter. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm, as shown below. (a) What is the emfInduced In the coil when the current through the solenoid Is decreasing at a rate dl/dt= -0.20A/s? (b) What Is the electric field Induced In the coil?
A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm × 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?
(a) A car generator turns at 400 rpm when 1he engine is idling. Its 300-turn, 5.00 by 8.00 cm rectangular coil rotates in an adjustable magnetic field 50 that it can produce suf?cient voltage even at low rpms. What is the field strength needed to produce a 24.0 V peak emf? (b) Discuss how this required field strength compares to those available in permanent and electromagnets.
The accompanying figure shows a conducting ring at various positions as It moves througli a magnetic field. What is the sense of the induced em! for each of those positions?
The armature and field coils of a series-wound motor have a total resistance of 3.0 . When connected to a 120-V source and running at normal speed, the motor draws 4.0 A. (a) How large is tire back emf? (b) What current will the motor draw just after it is turned on? Can you suggest a way to avoid this large initial current?
A rectangular copper loop of mass 100 g and resistance 0.2 is in a region of uniform magnetic field that is perpendicular to the area enclosed by the ring and horizontal to Earth's surface (see below). The loop is let go from rest what it is at the edge of the nonzero magnetic field region. (a) Find an expression for the speed when the loop just exits the region of uniform magnetic field. (b) If it was let go at t = 0, what is the tune when it exits the region of magnetic field for the following values, a=25cm,b=50cm,B=3T,g=9.8m/s2 ?Assumethat the magnetic field of the induced current is negligible compared to 3 T.
A coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field. (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced voltage occurs?

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