magnetic field generated at the center of the ring! 2. Two circular coils are concentric and lie on the same plane. The inner coil has 100 turns of wire, has a radius of 0.011 m, and has a current of 4.6 A. The outer coil has 150 turns and has a diameter of 0.200 m. Determine the magnitude and direction of the current in the outer coil for the net magnetic field at the center of the coils to be equal to zero.

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Chapter1: Units, Trigonometry. And Vectors
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What Have I Learned So Far?
So
1. A +7.7 × 104-C charge is uniformly distributed around a thin insulating ring with a
radius of 0.48 m. It rotates with a speed of 7 500 rad/s on its axis perpendicular to
the plane of the ring and passing through its center. What is the magnitude of the
magnetic field generated at the center of the ring?
2. Two circular coils are concentric and lie on the same plane. The inner coil has 100 turns
of wire, has a radius of 0.011 m, and has a current of 4.6 A. The outer coil has 150 turns
and has a diameter of 0.200 m. Determine the magnitude and direction of the current
in the outer coil for the net magnetic field at the center of the coils to be equal to zero.
3. A 20-uCcharge travels at a speed of 4.55 x 10 m/s perpendicular to a uniform magnetic
field. This charge experiences a magnetic force of 8.35 x 10-5 N. Simultaneously, a
10-uC charge travels at an angle of 45° with respect to the same magnetic field and
experiences a force of 1.01 x 10-4N. What is the speed of the 10-µC charge?
4. Consider two concentric coils that are lying on the same plane. Suppose the inner coil
has 110 turns of wire, has a radius of 0.02 m, and has a current of 3.0 A. The outer coil
has 200 turns and has a radius of 0.10 m. What should be the magnitude and direction
of the current in the inner coil so that the magnetic field at the center of the two coils
will be equal to zero?
Magnetic Field for Highly Symmetric Current
Transcribed Image Text:What Have I Learned So Far? So 1. A +7.7 × 104-C charge is uniformly distributed around a thin insulating ring with a radius of 0.48 m. It rotates with a speed of 7 500 rad/s on its axis perpendicular to the plane of the ring and passing through its center. What is the magnitude of the magnetic field generated at the center of the ring? 2. Two circular coils are concentric and lie on the same plane. The inner coil has 100 turns of wire, has a radius of 0.011 m, and has a current of 4.6 A. The outer coil has 150 turns and has a diameter of 0.200 m. Determine the magnitude and direction of the current in the outer coil for the net magnetic field at the center of the coils to be equal to zero. 3. A 20-uCcharge travels at a speed of 4.55 x 10 m/s perpendicular to a uniform magnetic field. This charge experiences a magnetic force of 8.35 x 10-5 N. Simultaneously, a 10-uC charge travels at an angle of 45° with respect to the same magnetic field and experiences a force of 1.01 x 10-4N. What is the speed of the 10-µC charge? 4. Consider two concentric coils that are lying on the same plane. Suppose the inner coil has 110 turns of wire, has a radius of 0.02 m, and has a current of 3.0 A. The outer coil has 200 turns and has a radius of 0.10 m. What should be the magnitude and direction of the current in the inner coil so that the magnetic field at the center of the two coils will be equal to zero? Magnetic Field for Highly Symmetric Current
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