Use Ampere’s Law to find an expression for the magnetic field B produced by a a...
Use Ampere’s Law to find an expression for the magnetic field B produced by a
a long straight wire carrying current i at all points that are a perpendicular
distance r from the wire
Homework Answers
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Use Ampere’s Law to find an expression for the magnetic field
B produced by a
a...
(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.
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...
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 1 carrying a constant current I. Sketch the relevant Amperian loop each case. 1 R R
Use Ampere’s Law to find the magnetic field of an infinitely large slab and current with...
Use Ampere’s Law to find the magnetic field of an infinitely large slab and current with current density J0 i hat. The slab is infinite in the x and y directions, but has a finite thickness t in the z direction. Do this for both (a) inside at the point p(0, 0,-t/4) and (b) outside at the point p(0,0,4t).
Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a...
Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a coaxial cable, a distance of 24 mm from the central axis. The coaxial cable consists of a wire with radius r1=1.3 mm and surrounding that, a cylindrical shell with inner radius r2=2.5 mm and outer radius r3=3.3 mm. The wire and cylindrical shell carry equal currents (4.0 A) in opposite directions. Side questions: 1. does the outer radius matter? 2. what would you do...
1. Use F=LI x B and Ampere`s Law(for the magnetic field of a long straight wire)...
1. Use F=LI x B and Ampere`s Law(for the magnetic field of a long straight wire) to derive the force per unit length of two parallel current carrying wires; in terms of current, I, and distance between wires, d. Show all the steps and explain any substitution you may make.
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...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
Questions/Assignments an expression for the magnetic field at the center of circular loop of current carrying...
Questions/Assignments an expression for the magnetic field at the center of circular loop of current carrying wire erive an expression for the magnetic field at a point on the axis of circular current carrying wire. 3. D erive an expression for the magnetic field at a point distance x away(along the dipole) due to magnetic dipole of moment M. 4. Derive an expression for the magnetic field at a point distance x away (along the perpendicular bisector) due to a...
question b 4. (a) State the Bio-Savart law. (1 mark) (b) Use the Bio-Savart law to...
question b
4. (a) State the Bio-Savart law. (1 mark) (b) Use the Bio-Savart law to calculate the magnetic field at a point, P, a distance r from a finite wire segment (see figure), of length 21, carrying a steady current I. Hence determine the magnetic field at the centre of a square loop, side-length 2L, carrying a steady current I. Р. (5 marks) -L 0 +L dx 1 You may need that 2 a2 3 (Vx2 + a2) a2...
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...
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 1 carrying a constant current I. Sketch the relevant Amperian loop each case. 1 R R
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...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
Questions/Assignments an expression for the magnetic field at the center of circular loop of current carrying wire erive an expression for the magnetic field at a point on the axis of circular current carrying wire. 3. D erive an expression for the magnetic field at a point distance x away(along the dipole) due to magnetic dipole of moment M. 4. Derive an expression for the magnetic field at a point distance x away (along the perpendicular bisector) due to a...
question b
4. (a) State the Bio-Savart law. (1 mark) (b) Use the Bio-Savart law to calculate the magnetic field at a point, P, a distance r from a finite wire segment (see figure), of length 21, carrying a steady current I. Hence determine the magnetic field at the centre of a square loop, side-length 2L, carrying a steady current I. Р. (5 marks) -L 0 +L dx 1 You may need that 2 a2 3 (Vx2 + a2) a2...
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