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12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic...
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s law to determine the magnetic...
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s
law to determine the magnetic field both inside and outside an
infinite cylindrical wire of radius R and length l carrying a
constant current I. Sketch the relevant Amperian loop each
case.
12) Ampere's Law - Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length / carrying a constant current I. Sketch...
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...
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...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's Law to calculate the magnetic field inside and outside the wire. Sketch your result as a function of distance r from the center.
(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 =...
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and...
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and outside of a circular toroid, figure below, of major radius R and minor radius a, wrapped with N turns of wire carrying current I. Evaluate for r=R=5cm, a=2cm,N=1000,1=3A
(2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a...
(2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a long straight cylinder of current with current density J and radius R. Remember that J = I/A. When indicating the direction, describe it as clockwise or counterclockwise when looking at the wire with the current going away from you.
В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite...
В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite straight wire of radius R carrying current I uniformly distributed over its cross-section. (a) Find the magnetic field B(s) as a function of the distance s from the wire axis z, both inside s < R and outside s > R the wire. Indicate the direction of B and sketch its field lines (try to space the field lines appropriately) Hint: Use Ampère's law...
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?
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...
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s
law to determine the magnetic field both inside and outside an
infinite cylindrical wire of radius R and length l carrying a
constant current I. Sketch the relevant Amperian loop each
case.
12) Ampere's Law - Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length / carrying a constant current I. Sketch...
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...
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...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's Law to calculate the magnetic field inside and outside the wire. Sketch your result as a function of distance r from the center.
(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 =...
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and outside of a circular toroid, figure below, of major radius R and minor radius a, wrapped with N turns of wire carrying current I. Evaluate for r=R=5cm, a=2cm,N=1000,1=3A
В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite straight wire of radius R carrying current I uniformly distributed over its cross-section. (a) Find the magnetic field B(s) as a function of the distance s from the wire axis z, both inside s < R and outside s > R the wire. Indicate the direction of B and sketch its field lines (try to space the field lines appropriately) Hint: Use Ampère's law...
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?
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...
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