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Ampere's Law Problems Ampere's Law Introduction - AL-1 An flat sheet is made of parallel wires...
TUTORIAL 9 UNPACKING AMPERF'S LAW TUTORIAL 9: UNPACKING AMPERE'S LAW Part 1 Ampere's Law (i). Write...
TUTORIAL 9 UNPACKING AMPERF'S LAW TUTORIAL 9: UNPACKING AMPERE'S LAW Part 1 Ampere's Law (i). Write down Ampere's Law in integral form: (ii). Imagine there is a constant magnetic field whose direction is given by the field lines shown below. An Amperian loop is also shown below (dashed lines) B dl for each side of the loop? a) What is Side I Side I Side III Side IV b) What is fB-di II III IV Page 1 of 8 Contact:...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an i...
Magnetic Field inside a Very
Long Solenoid Learning Goal: To apply Ampère's law to find the
magnetic field inside an infinite solenoid. In this problem we will
apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate
the magnetic field inside a very long solenoid (only a relatively
short segment of the solenoid is shown in the pictures). The
segment of the solenoid shown in (Figure 1) has length L, diameter
D, and n turns per unit length with each...
Ampere's Law was used to show that the magnitude of the magnetic field a distance R...
Ampere's Law was used to show that the magnitude of the magnetic field a distance R from a long, thin wire carrying current I is given by: 14. If a proton moving to the left at 1x105 m/s were to pass through Point C, what would be the magnetic force on that proton (both magnitude and direction must be correct for credit)? Ans: D a. 2.14z10N b. O N c. 11.2z10Nd. 7.46x10N 15.0A 250A 2TR 15. What is the direction...
Part II Problems Continus Problem 4. (20pts.) Three long parallel wires carry the following currents: 1-10A,...
Part II Problems Continus Problem 4. (20pts.) Three long parallel wires carry the following currents: 1-10A, I2-1.51, and I 311. They are placed and directed as shown in the figure below where the reference distance a - 5cm Find, at the point P on the triangle, a) (Spts.) The magnitude and direction of the magnetic field and caused by current I (Spts.) The magnitude and direction of the magnetic field caused by current l c) (5pts.) The magnitude and direction...
Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are...
Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by xo 4.8 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l1 = 3.7 A in the negative z- direction. Each wire in the right sheet carries a current l2 = 5.1 A in the positive z-direction ES R P 1)...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindri...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindrical magnetic core of permeability μ μ0Hm The cylindrical core, extending along the z-axis, has radius α n turns per unit length, current I per turn Magnetic material of μ (a) If the solenoid is considered as infinite in length, it can be shown that the magnetic field, expressed in cylindrical coordinates, is: r> a Apply Ampere's law, using the rectangular path...
R/2 1. The structure shown above is made of wires soldered together, and it is placed...
R/2 1. The structure shown above is made of wires soldered together, and it is placed on a flat tabletop and confined to move in a plane. The structure consists of a circle of radius R, a rod of length 2R passing through the midpoint of a radius, and a rod of length d. All wires have uniform density m/R a. Find the position of the CM (center of mass) measured from the bottom. Express your answer in the form...
Stuck on both problems A parallel plate capacitor is made up of two plates, each a...
Stuck on both problems
A parallel plate capacitor is made up of two plates, each a squarer that is 1.0 mm on each side, each having charge of magnitude 1.57 mu C, and separated by a distance of 5.0 mu m. Draw in the electric field between the capacitors. What is the magnitude of the field? If an electron is placed inside the field, what is the magnitude and direction of its acceleration? (Ignore gravity.) The rod shown below has...
TUTORIAL 9 UNPACKING AMPERF'S LAW TUTORIAL 9: UNPACKING AMPERE'S LAW Part 1 Ampere's Law (i). Write down Ampere's Law in integral form: (ii). Imagine there is a constant magnetic field whose direction is given by the field lines shown below. An Amperian loop is also shown below (dashed lines) B dl for each side of the loop? a) What is Side I Side I Side III Side IV b) What is fB-di II III IV Page 1 of 8 Contact:...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
Magnetic Field inside a Very
Long Solenoid Learning Goal: To apply Ampère's law to find the
magnetic field inside an infinite solenoid. In this problem we will
apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate
the magnetic field inside a very long solenoid (only a relatively
short segment of the solenoid is shown in the pictures). The
segment of the solenoid shown in (Figure 1) has length L, diameter
D, and n turns per unit length with each...
Ampere's Law was used to show that the magnitude of the magnetic field a distance R from a long, thin wire carrying current I is given by: 14. If a proton moving to the left at 1x105 m/s were to pass through Point C, what would be the magnetic force on that proton (both magnitude and direction must be correct for credit)? Ans: D a. 2.14z10N b. O N c. 11.2z10Nd. 7.46x10N 15.0A 250A 2TR 15. What is the direction...
Part II Problems Continus Problem 4. (20pts.) Three long parallel wires carry the following currents: 1-10A, I2-1.51, and I 311. They are placed and directed as shown in the figure below where the reference distance a - 5cm Find, at the point P on the triangle, a) (Spts.) The magnitude and direction of the magnetic field and caused by current I (Spts.) The magnitude and direction of the magnetic field caused by current l c) (5pts.) The magnitude and direction...
Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by xo 4.8 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l1 = 3.7 A in the negative z- direction. Each wire in the right sheet carries a current l2 = 5.1 A in the positive z-direction ES R P 1)...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindrical magnetic core of permeability μ μ0Hm The cylindrical core, extending along the z-axis, has radius α n turns per unit length, current I per turn Magnetic material of μ (a) If the solenoid is considered as infinite in length, it can be shown that the magnetic field, expressed in cylindrical coordinates, is: r> a Apply Ampere's law, using the rectangular path...
R/2 1. The structure shown above is made of wires soldered together, and it is placed on a flat tabletop and confined to move in a plane. The structure consists of a circle of radius R, a rod of length 2R passing through the midpoint of a radius, and a rod of length d. All wires have uniform density m/R a. Find the position of the CM (center of mass) measured from the bottom. Express your answer in the form...
Stuck on both problems
A parallel plate capacitor is made up of two plates, each a squarer that is 1.0 mm on each side, each having charge of magnitude 1.57 mu C, and separated by a distance of 5.0 mu m. Draw in the electric field between the capacitors. What is the magnitude of the field? If an electron is placed inside the field, what is the magnitude and direction of its acceleration? (Ignore gravity.) The rod shown below has...
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