A toroidal solenoid with N turns of wire, has inner radius a, outer radius b, and...
A toroidal solenoid with N turns of wire, has inner radius a, outer radius b, and a rectangular cross section of height h. Make a diagram of the toroid and its cross section and show that the self-inductance of this solenoid is given by L = [µ0N^2h/( 2π )]*ln(b/a).
Homework Answers
Add Answer to:
A toroidal solenoid with N turns of wire, has inner radius a, outer radius b, and...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight solenoid. Over the cross-sectional area of the toroid the magnetic field is stronger near the inner HoNI radius of the torus and somewhat weaker near the outer radius according to B(r) 2Tr So we cannot technically use the simple expression P2 = BAfor the flux through one turn of wire. Nevertheless, the textbook uses an approximate constant value for an equivalent uniform magnetic field...
The magnetic field inside a toroidal solenoid is discussed in Example 28.11 of the text book. There the thickness of th...
The magnetic field inside a toroidal solenoid is discussed in Example 28.11 of the text book. There the thickness of the solenoid and variation of the magnetic field across the cross section were ignored. Let's include these effects into consideration. The solenoid in the figure has a rectangular cross section. It has N uniformly spaced turns, with air inside. The magnetic field at a point inside the toroid was derived in Example 28.11. Do not assume the field to be...
Problem 2 (7 pts): An air-filled toroidal solenoid has 500 turns of wire, a mean radius...
Problem 2 (7 pts): An air-filled toroidal solenoid has 500 turns of wire, a mean radius of 14.0 cm, and a cross-sectional area of 6.00 cm2. If the current is 4.00 A, calculate: (a) the magnetic field in the solenoid; (b) the self-inductance of the solenoid; (c) the energy stored in the magnetic field; (d) the energy density in the magnetic field. (1pt) (2pts) (2pts) (2pts)
Part A An air-filled toroidal solenoid has 390 turns of wire, a mean radius of 12.5...
Part A An air-filled toroidal solenoid has 390 turns of wire, a mean radius of 12.5 cm, and a cross-sectional area of 4.30 cm If the current is 5.30 A, calculate the magnetic field in the solenoid. R O a ? IVO ACP B= 2.10-8 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Calculate the self-inductance of the solenoid. 150 AC mo ? L Submit Request Answer Part C Calculate the energy stored in...
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability of the medium to be Ho, find...
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability of the medium to be Ho, find the self-inductance of the toroidal coil. FIGURE 6-23 A closely wound toroidal coil
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability...
An air-filled toroidal solenoid has 385 turns of wire, a mean radius of 14.0 cm, and...
An air-filled toroidal solenoid has 385 turns of wire, a mean radius of 14.0 cm, and a cross-sectional area of 4.80 cm. Part A If the current is 5.10 A, calculate the magnetic field in the solenoid. Express your answer in teslas. V ALP O 2 ? Submit Request Answer Part B Calculate the self-inductance of the solenoid. Express your answer in henries. IVO AQ * R O ? Submit Request Answer Part C Calculate the energy stored in the...
An air-filled toroidal solenoid has 330 turns of wire, a mean radius of 13.5 cm, and...
An air-filled toroidal solenoid has 330 turns of wire, a mean radius of 13.5 cm, and a cross-sectional area of 4.20 cm . U = 1.22x10-3 J Submit Previous Answers ✓ Correct Part D Calculate the energy density in the magnetic field. ? VO APO u= 1.167 • 10 Submit Previous Answers Request Answer X Incorrect; Try Again Part E Find the answer for part D by dividing your answer to part C by the volume of the solenoid. YO...
A wooden toroidal core with a square cross section has an inner radius of 10cm and...
A wooden toroidal core with a square cross section has an inner radius of 10cm and an outer radius of 12cm. It is wound with one layer of wire (diameter, 0.96mm; the resistance per unit length , 21m ohm/m. Calculate a) the inductance and b) the inductive time constant. Ignore the thickness of the insulation.
A toroidal solenoid has inner radius 15cm and outer radius 20cm. The solenoid has 250 turns. Advice: Work through example 28.10 first.
A toroidal solenoid has inner radius 15cm and outer radius 20cm. The solenoid has 250 turns. Advice: Work through example 28.10 first. a) The magnetic field at 18cm from the center of the torus is 3mT. How large is the current that the coil carries? b) What is the magnitude of the magnetic field at 10cm from the center of the torus? Please explain your answer using Ampere's law without any calculation. c) What is the magnitude of the magnetic...
1. a. One solenoid is centered inside another. The outer one has a length of 47.0...
1. a. One solenoid is centered inside another. The outer one has a length of 47.0 cm and contains 6700 coils, while the coaxial inner solenoid is 5.00 cm long and 0.170 cm in diameter and contains 17.0 coils. What is the mutual inductance of these solenoids? The current in the outer solenoid is changing at 38.0 A/s. b. Find the emf induced in the inner solenoid. c. A toroidal solenoid has a mean radius of 18.0 cm and a...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight solenoid. Over the cross-sectional area of the toroid the magnetic field is stronger near the inner HoNI radius of the torus and somewhat weaker near the outer radius according to B(r) 2Tr So we cannot technically use the simple expression P2 = BAfor the flux through one turn of wire. Nevertheless, the textbook uses an approximate constant value for an equivalent uniform magnetic field...
The magnetic field inside a toroidal solenoid is discussed in Example 28.11 of the text book. There the thickness of the solenoid and variation of the magnetic field across the cross section were ignored. Let's include these effects into consideration. The solenoid in the figure has a rectangular cross section. It has N uniformly spaced turns, with air inside. The magnetic field at a point inside the toroid was derived in Example 28.11. Do not assume the field to be...
Problem 2 (7 pts): An air-filled toroidal solenoid has 500 turns of wire, a mean radius of 14.0 cm, and a cross-sectional area of 6.00 cm2. If the current is 4.00 A, calculate: (a) the magnetic field in the solenoid; (b) the self-inductance of the solenoid; (c) the energy stored in the magnetic field; (d) the energy density in the magnetic field. (1pt) (2pts) (2pts) (2pts)
Part A An air-filled toroidal solenoid has 390 turns of wire, a mean radius of 12.5 cm, and a cross-sectional area of 4.30 cm If the current is 5.30 A, calculate the magnetic field in the solenoid. R O a ? IVO ACP B= 2.10-8 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Calculate the self-inductance of the solenoid. 150 AC mo ? L Submit Request Answer Part C Calculate the energy stored in...
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability of the medium to be Ho, find the self-inductance of the toroidal coil. FIGURE 6-23 A closely wound toroidal coil
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability...
An air-filled toroidal solenoid has 385 turns of wire, a mean radius of 14.0 cm, and a cross-sectional area of 4.80 cm. Part A If the current is 5.10 A, calculate the magnetic field in the solenoid. Express your answer in teslas. V ALP O 2 ? Submit Request Answer Part B Calculate the self-inductance of the solenoid. Express your answer in henries. IVO AQ * R O ? Submit Request Answer Part C Calculate the energy stored in the...
An air-filled toroidal solenoid has 330 turns of wire, a mean radius of 13.5 cm, and a cross-sectional area of 4.20 cm . U = 1.22x10-3 J Submit Previous Answers ✓ Correct Part D Calculate the energy density in the magnetic field. ? VO APO u= 1.167 • 10 Submit Previous Answers Request Answer X Incorrect; Try Again Part E Find the answer for part D by dividing your answer to part C by the volume of the solenoid. YO...
Most questions answered within 3 hours.
-
Benning Inc is a defense contractor that uses job costing.
Because the firm uses a perpetual...
asked 35 minutes ago -
What is the net ionic equation for the reaction that would occur
when an aqueous solution...
asked 3 hours ago -
A
student bought $1000 worth of furniture. What is the equivalent
annual cost if it is...
asked 3 hours ago -
What taboo subject did Ida B. Wells suggest was consensual
between black men and white women?...
asked 5 hours ago -
You have just been hired by the EPA to help with the new gas
mileage standards...
asked 6 hours ago -
4) A firm is hit by increases in its wage rate, w.
a) How does this...
asked 6 hours ago -
A square current loop 5.4 cm on each side carries a 510 mA
current. The loop...
asked 8 hours ago -
What are five tips in conducting knowledge assessment/literature
review research? Each of these tips needs to...
asked 9 hours ago -
Antigen presenting cells link innate and adaptive immune
responses. In the theoretical scenario where phagosomes cannot...
asked 9 hours ago -
Dealing with conflict, in my opinion, is a skill and an art. I
believe that those...
asked 10 hours ago -
6. A long straight wire with circular cross section and radius
1.5 cm carries a 1.2...
asked 10 hours ago -
Deacon Corporation has provided the following financial data
from its balance sheet and income statement:
Year...
asked 10 hours ago