An air-filled toroidal solenoid has a mean radius of 15.5 cm and a cross-sectional area of 4.97 cm² as shown in (Figure 1). Picture this as the toroidal core around which the windings are wrapped to form the toroidal solenoid. The current flowing through it is 11.8 A, and it is desired that the energy stored within the solenoid be at least 0.391 J. Figure 1 of 1 average radius r ▾ Part A What is the least number of turns that the winding must have? Express your answer numerically, as a whole number, to three significant figures ▸ View Available Hint(s) VE ΑΣΦΑ Submit ? Review I turns

An air-filled toroidal solenoid has a mean radius of 15.5 cm and a cross-sectional area of 4.97 cm² as shown in (Figure 1). Picture this as the toroidal core around which the windings are wrapped to form the toroidal solenoid. The current flowing through it is 11.8 A, and it is desired that the energy stored within the solenoid be at least 0.391 J. Figure 1 of 1 average radius r ▾ Part A What is the least number of turns that the winding must have? Express your answer numerically, as a whole number, to three significant figures ▸ View Available Hint(s) VE ΑΣΦΑ Submit ? Review I turns

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: An aluminum ring of radius r₁=5.00 cm and a resistance of 3.25 x 104 is placed around one end of a…

Q: A 50.0 mA current is carried by a uniformly wound air-core solenoid with 400 turns, a 15.0 mm…

A: A solenoid is formed by winding a long conducting wire in a helical pattern. When a current is…

Q: A rectangular loop of wire with dimensions 1.20 cm by 8.00 cm and resistance 0.800 2 is being pulled…

Q: An aluminum ring of radius r₁=5.00 cm and a resistance of 4.15 x 10-4 is placed around one end of a…

Q: You would like to store 9.9 J of energy in the magnetic field of a solenoid. The solenoid has 560…

Q: A 2.40 mH toroidal solenoid has an average radius of 6.80 cm and a cross-sectional area of 2.80 cm2.…

A: Given:- Inductance of the toroidal solenoid is L=2.40mH =2.40 mH×10-3 H1 mH =2.40×10-3 H…

Q: The figure below shows an end view of a single-turn square loop of metal wire in the center of and…

Q: The current in a long solenoid of radius 7 cm and 17 turns/cm is varied with time at a rate of 6…

Q: The current in a long solenoid of radius 2 cm and 19 turns/cm is varied with time at a rate of 5…

A: Given data r=2 cmn=19/cmdIdt=5 A/s Here, r is the radius of the solenoid, n is the number if turns…

Q: A 2500-turn solenoid is 1.5 m long and 15 cm in diameter. The solenoid current is increasing at 1.5…

A: According to question ---. No. Of turns n = 2500. Length of solenoid = 1.5 m Diameter = 15 cm.…

Q: An aluminum ring of radius r = 5.00 cm and a resistance of 4.15 x 104 N is placed around one end of…

A: Due to magnetic field of solenoid the current is induced .

Q: A certain superconducting magnet in the form of a solenoid of length 0.42 m can generate a magnetic…

Q: magnetic field of the solenoid

A: Given: Diameter of copper wire is dc=0.500 mm Resistance is R=3.50 Ω Current is I=3.50 A Magnetic…

Q: 14-turn ideal solenoid has an inductance of (3.9x10^0) mH. When the solenoid carries a current of…

Q: The figure below shows an end view of a single-turn square loop of metal wire in the center of and…

Q: Determine the current I flowing through a solenoid, if the magnetic flux inside its core is found to…

A: The magnetic flux in the coil can be determined as, Here, B and A represent the magnetic field and…

Q: As shown in the figure below, you exert a constant force F to the right on a conducting rod of…

A: a) Write the expression for the induced emf and substitute the corresponding values.…

Q: You have decided that you love physics and want to construct your own solenoid. You find a plastic…

Q: An aluminum ring of radius r₁=5.00 cm and a resistance of 3.95 x 104 f is placed around one end of a…

Q: An air-filled solenoid has a diameter 10.5 cm and a length 5.58 cm, and it has 653 turns of wire. If…

Q: The figure below shows an end view of a single-turn square loop of metal wire in the center of and…

Q: or a class demonstration, a professor needs to create a solenoid using copper wire with diameter d =…

A: Conductor resistance is directly proportional to its length and inversely proportional to its…

Q: A rectangular conducting loop has sides a = 0.065 m, sides b = 0.15 m, and resistance R = 55 Ω. It…

Q: An aluminum ring of radius r₁5.00 cm and a resistance of 3.05 x 104 2 is placed around one end of a…

Q: A large electromagnet is made of a thin iron torus of radius r and permeability µ = 10³ μ are which…

A: An area surrounded by magnetic force is called the magnetic field. Magnetic fields can be generated…

Q: A conducting disk with radius a, thickness h , and resistivity p is inside a solenoid of circular…

A: A)Given: B=bt….(1) Where, B is the magnetic field in the solenoid. b is the constant. t is the time.…

Q: An air-filled toroidal solenoid has a mean radius of 30[cm]30[cm] and a cross-sectional area of…

A: The objective of the question is to find the number of turns in the winding of the solenoid. We can…

Q: A conducting facet (L = 10[cm]) moves to the right on two frictionless conducting rails, as shown in…

Q: For a class demonstration, a professor needs to create a solenoid using copper wire with diameter d…

A: Solution: To solve this problem, we can use the formula for the resistance of a solenoid: R = (4 *…

Q: A 10-turn ideal solenoid has an inductance of (3.9x10^-3) H. To generate an EMF of (1.16x10^0) V…

A: Given , N = 10 L = 3.9 ×10-3 H e (emf ) = 1.16 V Here we have to find rate of change of the…

Q: A solenoid has 560 closely spaced turns, a length of 12.0 cm, a radius of 3.00 cm, and carries a…

A: Given,Total Number of turns, N=560Length of the solenoid, l=12.0 cml=0.12mRadius of the solenoid,…

Q: In Figure (a), a circular loop of wire is concentric with a solenoid and lies in a plane…

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

An Air-Filled Toroidal Solenoid
An air-filled toroidal solenoid has a mean radius of 15,5
cm and a cross-sectional area of 4.97 cm² as shown in
(Figure 1). Picture this as the toroidal core around which
the windings are wrapped to form the toroidal solenoid.
The current flowing through it is 11.8 A, and it is desired
that the energy stored within the solenoid be at least
0.391 J
Figure
cross-sectional
area A
1 of 1
average radius r
Part A
Submit
What is the least number of turns that the winding must have?
Express your answer numerically, as a whole number, to three significant figures.
▸ View Available Hint(s)
15. ΑΣΦΑ
Provide Feedback
19
turns
Review I C

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Final Answer

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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

H3
A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 25.0 cm long and wound with 108 turns of wire. A square with sides of length ℓ is completely inside of and concentric with a circle of radius r. (a) If the current in the solenoid is 3.60 A, what is the magnetic flux through the square loop? T · m2(b) If the current in the solenoid is reduced to zero in 2.40 s, what is the magnitude of the average induced emf in the square loop? V
Problem 1. A conducting rod spans a gap of length L = 0.215 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At2, where A = 5.5 m/s4. The resistance in the wire is R = 125 Ω. L = 0.215 mB = 0.75 TA = 5.5 m/s4R = 125 Ω A. Calculate the numerical value of I at t = 2s in A. I(t=2s) =
A solenoid 2.5 cm in diameter and 30 cm in length has 2400 turns and carries a current of 2.0 A. A)Calculate the magnetic flux through the circular cross-sectional area of the solenoid. Hint: Assume this is a very long solenoid and use the simplified magnetic field formula for an infinite solenoid.
The magnetic field at the center of a solenoid L = 75 cm long is B = 0.11 T when a current of I = 3.5 A flows through the solenoid wire. 1. Solve the formula for the magnetic field near the center of a long, tightly wound solenoid for the number of turns, N, in the solenoid. The expression should be in terms of the given variables. 2. Calculate the value of the number of turns, N.
For a solenoid in vacuum of length l = 10 cm with 104 turns per meter calculate the current required to create the field B= 70 μT. Provide your answer in SI units.
For a solenoid in vacuum of length l = 10 cm with 10* turns per meter calculate the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid. Take vacuum permeability Ho = 4x x 10-7 H/m. Provide your answer in SI units. Answer:
Can you help with subquestions 9a and 9b 9a. A very long solenoid with a circular cross section and radius r= 5.10 cm with n= 1.10E+4 turns/m has a magnetic energy density uB= 6.60 mJ/m3. What is the current in the solenoid? 9b. What is the total energy stored in the solenoid if its length is 0.620 meters? (Neglect end effects.) This is not and will not be graded
An air-filled toroidal solenoid has a mean radius of 15.0 cm and a cross-sectional area of 5.00 cm2. When the current is 12.0 A, the energy stored is 0.390 J. How many turns does the winding have?
please include diagram
Determine the current I flowing through a solenoid, if the magnetic flux inside its core is found to be 2.90 x 10-4 Wb. The radius of the solenoid is 25.0 cm and the number of turns per meter is 235. A
Answer c