![3. [Total: 30 pts] Later this semester, in our studies of Faradays Law in electrodynamics, we will consider an infinitely long solenoid as example. To get prepared, we revise in this problem the calculation of the magnetic field inside such a solenoid generated by a constant current. a) [10 pts] Determine the magnetic field of a circular ring of current along the axis of the ring b) 10 pts Use the result from part a) to calculate the magnetic field on the axis of an infinitely long solenoid. To this end, consider that the solenoid can be regarded as a large number of rings stacked close together, and suppose that the number of rings is n per unit length, each with a current I c) [10 pts] Use Amperes law to calculate the magnetic field inside an infinitely long solenoid. Compare your result with that from part b)](http://img.homeworklib.com/questions/cd316fd0-725e-11ea-a978-7d9a3725ca25.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
3. [Total: 30 pts] Later this semester, in our studies of Faraday's Law in electrodynamics, we...
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid. Use Biot-Savart law to derive the magnetic field in the center of the the solenoid....
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid. Use Biot-Savart law to derive the magnetic field in the center of the the solenoid. Verify that it agrees with the result from the Ampere's law. You can approximate the solenoid as infinitely long
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid....
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns...
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns per unit length is n_1 = 220 turns/cm. At the center of this solenoid there is a shorter solenoid made of N_2 = 130 turns closely spaced. The diameter of the smaller solenoid is d_2 = 2.1cm, and its axis coincides with the axis of the longer solenoid. The current in the first solenoid grows linearly by an amount delta I = 1.5 A...
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is wrapped into a solenoid...
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is
wrapped into a solenoid of length l = 1 m and has N = 15 loops with
a current of 1 A passing through it.
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length 1 = 1 m and has N = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by...
3. a) Describe Ampere's Law for a long straight wire carrying a current, and Faraday's (5 marks) b) A circular loop of area 0.10m2, is perpendicular to a unifom magnetic field, B. The Law of...
3. a) Describe Ampere's Law for a long straight wire carrying a current, and Faraday's (5 marks) b) A circular loop of area 0.10m2, is perpendicular to a unifom magnetic field, B. The Law of induction, and Lenz's Rule for a loop of wire in a magnetic field. loop contains a resistor (i) What is the EMF across the resistor where the magnitude of the magnetic field varies with time according to B = 0.10-0.04t, with B in teslas and...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following:...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?
Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an i...
Magnetic Field inside a Very
Long Solenoid Learning Goal: To apply Ampère's law to find the
magnetic field inside an infinite solenoid. In this problem we will
apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate
the magnetic field inside a very long solenoid (only a relatively
short segment of the solenoid is shown in the pictures). The
segment of the solenoid shown in (Figure 1) has length L, diameter
D, and n turns per unit length with each...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we ...
To apply Ampère's law to find the magnetic field inside an
infinite solenoid.In this problem we will apply Ampère's law, written∮B⃗ (r⃗ )⋅dl⃗ =μ0Iencl,to calculate the magnetic field inside a very long solenoid
(only a relatively short segment of the solenoid is shown in the
pictures). The segment of the solenoid shown in (Figure 1) has
length L, diameter D, and n turns per unit length with each
carrying current I. It is usual to assume that the component of...
Item 7 Use the mathematical representation of Faraday's law to help solve this problem - Part...
Item 7 Use the mathematical representation of Faraday's law to help solve this problem - Part 6 Leaming Goal: To practice Problem Solving Strategy 25.1 Electromagnetic induction A loop of wire of radius a 40. mm has an electrical resistance R=0.038 n. The loop is initially inside a uniform magnetic field of magnitude Bo - 16 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current 0.20 A in...
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid. Use Biot-Savart law to derive the magnetic field in the center of the the solenoid. Verify that it agrees with the result from the Ampere's law. You can approximate the solenoid as infinitely long
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid....
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns per unit length is n_1 = 220 turns/cm. At the center of this solenoid there is a shorter solenoid made of N_2 = 130 turns closely spaced. The diameter of the smaller solenoid is d_2 = 2.1cm, and its axis coincides with the axis of the longer solenoid. The current in the first solenoid grows linearly by an amount delta I = 1.5 A...
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is
wrapped into a solenoid of length l = 1 m and has N = 15 loops with
a current of 1 A passing through it.
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length 1 = 1 m and has N = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by...
3. a) Describe Ampere's Law for a long straight wire carrying a current, and Faraday's (5 marks) b) A circular loop of area 0.10m2, is perpendicular to a unifom magnetic field, B. The Law of induction, and Lenz's Rule for a loop of wire in a magnetic field. loop contains a resistor (i) What is the EMF across the resistor where the magnitude of the magnetic field varies with time according to B = 0.10-0.04t, with B in teslas and...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?
Magnetic Field inside a Very
Long Solenoid Learning Goal: To apply Ampère's law to find the
magnetic field inside an infinite solenoid. In this problem we will
apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate
the magnetic field inside a very long solenoid (only a relatively
short segment of the solenoid is shown in the pictures). The
segment of the solenoid shown in (Figure 1) has length L, diameter
D, and n turns per unit length with each...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
To apply Ampère's law to find the magnetic field inside an
infinite solenoid.In this problem we will apply Ampère's law, written∮B⃗ (r⃗ )⋅dl⃗ =μ0Iencl,to calculate the magnetic field inside a very long solenoid
(only a relatively short segment of the solenoid is shown in the
pictures). The segment of the solenoid shown in (Figure 1) has
length L, diameter D, and n turns per unit length with each
carrying current I. It is usual to assume that the component of...
Item 7 Use the mathematical representation of Faraday's law to help solve this problem - Part 6 Leaming Goal: To practice Problem Solving Strategy 25.1 Electromagnetic induction A loop of wire of radius a 40. mm has an electrical resistance R=0.038 n. The loop is initially inside a uniform magnetic field of magnitude Bo - 16 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current 0.20 A in...
Most questions answered within 3 hours.
-
1. Develop a use case diagram for the bank case study described
in Chapter 1. 2....
asked 9 minutes ago -
The phylum Protista has often been referred to as a junk drawer
of classification. Explain what...
asked 15 minutes ago -
The average amount of money spent for lunch per person in the
college cafeteria is $7.09...
asked 17 minutes ago -
You follow the lab procedure and at the end of Part 4C, you used
an average...
asked 36 minutes ago -
Write 250-450 words, about the following: • Analyze how a
servant leader in your organization or...
asked 40 minutes ago -
3. American and Japanese workers can each produce 4 cars a
year. An American worker can...
asked 43 minutes ago -
On October 1, 20X1, a company purchased a piece of land by
agreeing to pay the...
asked 55 minutes ago -
Jamie is doing a survey at her school about whether the students
feel the cafeteria food...
asked 1 hour ago -
What are the roles of 3' and 5' untranslated regions in
mRNAs?
asked 1 hour ago -
A domestic television receives antenna delivers a sky noise
power of -105 dBm to a matched...
asked 1 hour ago -
What do you think are the chemical reactions involved in the
breathalyzer tests administered to potentially...
asked 1 hour ago -
A random sample of 120 observations produces a mean of
38.2 from a population with a...
asked 1 hour ago