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Problem 4: Consider a toroidal solenoid shown below. (a) Using Ampere's Law derive the equation for...
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...
(20 points) A 1200-turn solenoid of radius 2.00 cm and total length 16.0 cm has a 1.50 A current a. Find the magnetic field of the solenoid using Ampere's Law. integral.) b. A steel core is i...
(20 points) A 1200-turn solenoid of radius 2.00 cm and total length 16.0 cm has a 1.50 A current a. Find the magnetic field of the solenoid using Ampere's Law. integral.) b. A steel core is inserted into the solenoid. If the magnetic susceptibility of steel is 600, find the magnetization (M) and the total magnetic field of the solenoid. c. Assume each magnetic moment in the steel core is equal to one Bohr magneton, how many magnetic (You need...
electromagnetic 13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a...
electromagnetic
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
Two other systems commonly used in the labs are solenoid and toroid. Use Maxwell laws derive...
Two other systems commonly used in the labs are solenoid and toroid. Use Maxwell laws derive formulas for the magnetic field H inside and outside a) an infinitely long solenoid with radius r and n turns per unit lenght b) toroidal coil with inner radius r1, outer radius r2 and N turns c) Is the field uniform inside the toroid
Using Ampere's Law, find the magnetic field in all space produced by: a) A solid conducting...
Using Ampere's Law, find the magnetic field in all space produced by: a) A solid conducting cylinder carrying a total current I. b) Two cylindrical conductings opposite currents (each equal to I in magnitude). The inner one has radius a, the outer one b. c) A solenoid with N turns and length L carrying current I in each turn (inside only, far from the ends). d) A toroidal solenoid with N turns, inner radius a, outer radius b. e) An...
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...
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)
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....
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine...
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine the (approximately) constant magnetic field inside the solenoid, where l is the length of the solenoid and lenc is the total current enclosed by the Amperian loop. The magnetic permeability of vacuum is Mo = 4t x 10-7 H/m. Make sure to include the appropriate units for your calculation. You can leave your answer in terms of at or use the approximation n =...
(20 points) A 1200-turn solenoid of radius 2.00 cm and total length 16.0 cm has a 1.50 A current a. Find the magnetic field of the solenoid using Ampere's Law. integral.) b. A steel core is inserted into the solenoid. If the magnetic susceptibility of steel is 600, find the magnetization (M) and the total magnetic field of the solenoid. c. Assume each magnetic moment in the steel core is equal to one Bohr magneton, how many magnetic (You need...
electromagnetic
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
Using Ampere's Law, find the magnetic field in all space produced by: a) A solid conducting cylinder carrying a total current I. b) Two cylindrical conductings opposite currents (each equal to I in magnitude). The inner one has radius a, the outer one b. c) A solenoid with N turns and length L carrying current I in each turn (inside only, far from the ends). d) A toroidal solenoid with N turns, inner radius a, outer radius b. e) An...
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...
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)
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....
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine the (approximately) constant magnetic field inside the solenoid, where l is the length of the solenoid and lenc is the total current enclosed by the Amperian loop. The magnetic permeability of vacuum is Mo = 4t x 10-7 H/m. Make sure to include the appropriate units for your calculation. You can leave your answer in terms of at or use the approximation n =...
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