#5 Faraday Induction (10 Points) An inductor is in the form of a long cylindrical coil, which may be treated as a solenoid. Suppose the coil has a circular cross section and a radius of 0.0200 meters. Suppose there are 100,000 evenly spaced turns in the coil, which has a length of 0.100 meters. Initially, a 2.00 A current flows in the coil. a. What is the magnetic field in the interior of the solenoid? b. In part (a), what is the magnetic flux through each coil of the solenoid?

#5 Faraday Induction (10 Points) An inductor is in the form of a long cylindrical coil, which may be treated as a solenoid. Suppose the coil has a circular cross section and a radius of 0.0200 meters. Suppose there are 100,000 evenly spaced turns in the coil, which has a length of 0.100 meters. Initially, a 2.00 A current flows in the coil. a. What is the magnetic field in the interior of the solenoid? b. In part (a), what is the magnetic flux through each coil of the solenoid?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter20: Induced Voltages And Inductance

Section: Chapter Questions

Problem 28P: An astronaut is connected to her spacecraft by a 25-m-long tether cord as she and the spacecraft...

See similar textbooks

Related questions

Q: An electron travels to the right, as shown in the figure below, starting in a region of zero…

Q: The diagram below shows two, thin, infinitely-long, parallel conducting wires that are separated by…

Q: When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0×10^−4 T.…

Q: A ring rotates around the Y-axis in a magnetic field B=b0sinwt ax Wb/m2. The voltage induced in the…

A: when ring rotates then the flux through ring vary which can cause the flux to change due to which an…

Q: 9. Airplanes move through the earth's magnetic field at rather high speeds. At top speed moving…

Q: 1) A circuit is placed in a uniform magnetic field that points into the page as shown. The magnetic…

Q: The diagram below shows two concentric, conducting, circular loops with currents traveling in…

Q: 3 A circular coil of wire has a diameter of 20.0 cm and contains 10 loops. The current in each loop…

Q: A bar magnet enters a long solenoid which has an ammeter attached in series to both ends. Explain…

A: This question refers to electromagnetic induction, in which a changing magnetic field within a wire…

Q: Suppose the current density, J, is given by J = ks²2 for a cylindrical wire oriented along the…

A: The objective of the question is to determine the magnetic field in a cylindrical wire at different…

Q: Draw a bar magnet as if it were a magnetic dipole consisting of two "magnetic" monopoles of the same…

Q: A long solenoid of radius a carrying n turns per unit length is looped by a wire of resistance R as…

A: I have used lenz's formula and Maxwell's formula

Q: I Review I Constants Part A An electron is moving in the xy-plane. At time t a magnetic field B =…

Q: A cylindrical solenoid that is 40-cm long generates a uniform magnetic field of strength 1.4 T…

Q: The diagram below shows two, thin, infinitely-long, parallel conducting wires that are separated by…

Q: In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment,…

A: The motional emf generated between the ends of the wire is 6675.9V.

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

#5 Faraday Induction (10 Points) An inductor is in the form of a long cylindrical coil,
which may be treated as a solenoid. Suppose the coil has a circular cross section and a radius
of 0.0200 meters. Suppose there are 100,000 evenly spaced turns in the coil, which has a
length of 0.100 meters. Initially, a 2.00 A current flows in the coil.
a. What is the magnetic field in the interior of the solenoid?
b. In part (a), what is the magnetic flux through each coil of the solenoid?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An astronaut is connected to her spacecraft by a 25-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 3.0 105 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.45 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earths magnetic field at that instant. (a) What is the magnitude of the vertical component of Earths field at this location? (b) Does the measured voltage change as the system moves from one location to another? Explain.
Unreasonable Results A surveyor 100 m from a long straight 200-kV DC power line suspects that its magnetic field may equal that of the Earth and affect compass readings. (a) Calculate the current in the wire needed to create a 5.00105T field at this distance. (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
When a magnet is thrust into a coil as in Figure 23.4(a), what is the direction of the louse exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?
A magnetized sewing needle has a magnetic moment of 9.70 mA m2. At its location, the Earths magnetic field is 55.0 T northward at 48.0 below the horizontal. Identify the orientations of the needle that represent (a) the minimum potential energy and (b) the maximum potential energy of the needlefield system. (c) How much work must be done on the system to move the needle from the minimum to the maximum potential energy orientation?
A solenoid with 25 turns per centimeter carries a current I. An electron moves within the solenoid in a circle that has a radius of 2.0 cm and is perpendicular to the axis of the solenoid. If the speed of the electron is 2.0105 , what is I?
(a) By how many percent is the torque of a motor decreased if its permanent magnets lose 5.0% of their strength? (b) How many percent would the current need to be increased to return the torque to original values?
You are given a certain volume of copper from which you can make copper wire. To insulate the wire, you can have as much enamel as you like. You will use the wire to make a tightly wound solenoid 20 cm long having the greatest possible magnetic field at the center and using a power supply that can deliver a current of 5 A. The solenoid can be wrapped with wire in one or more layers. (a) Should you make the wire long and thin or shorter and thick? Explain. (b) Should you make the radius of the solenoid small or large? Explain.
What is the value of the magnetic flux at coil 2 in Figure 23.56 due to coil 1? Figure 23.56 (a) The planes of the two coils are perpendicular. (b) The wire is perpendicular to the plane of the coil.
Construct Your Own Problem Consider using the torque on a current-carrying coil in a magnetic field to detect relatively small magnetic fields (less than the field of the Earth, for example). Construct a problem in which you calculate the maximum torque on a current- carrying loop in a magnetic field. Among the things to be considered are the size of the coil, the number of loops it has, the current you pass through the coil, and the size of the field you wish to detect. Discuss whether the torque produced is large enough to be effectively measured. Your instructor may also wish for you to consider the effects, if any, of the field produced by the coil on the surroundings that could affect detection of the small field.
Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate tedious of the human brain (Figure P31.3). In TMS, a small coil is placed on the scalp and a brief burst of current in the coil produces a rapidly changing magnetic field inside the brain. The induced emf can stimulate neuronal activity. (a) One such device generates an upward magnetic Held within the brain that rises from zero to 1.50 T in 120 ms. Determine the induced emf around a horizontal circle of tissue of radius 1.60 mm. (b) What If? The field next changes to 0.500 T downward in 80.0 ms. How does the emf induced in this process compare with that in part (a)? Figure P31.3 Problems 3 and 51. The magnetic coil of a Neurostar TMS apparatus is held near the head of a patient.
(a) A dc power line for a light-rail system caries 1000 A at an angle of 30.0 to Earth's 5.0105 T field, What is the force on a 100-m section of this line? (b) Discuss practical concerns this presents, if any.
Unreasonable Results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50T magnetic field travels in a circular path of radius 16.0 mm. (a) What is the charge of the particle? (b) What is unreasonable about this result? (c) Which assumptions are responsible?