A particle of charge q moves in a circle of radius a at constant angular velocity w. (Assume that the circle lies in the xy plane, centered at the origin, and at time t=0 the charge is at (a,0), on the positive x axis.) a) Find the electric and magnetic fields at the center. b) From your formula for B you obtained in a), determine the magnetic field at the center of a circular loop carrying a steady current I.
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Q: i only need help with PART A ONLY. thanks
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A: This can be solved by using centripetal force formula and magnetic force formula
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- Write down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length l and the mass m carrying the current I . The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B and the gravitational field g perpendicular to the rod (see picture below).A finite current-carrying wire lies on the y-axis as shown below. The current has a constant magnitude of I. The wire goes from y =d to y = c . Point P lies on the x-axis at æ = -b.The arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.
- Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.Two thin circular wires, each with radius a, carry equal currents I but in opposite directions. They are placed so that their centers are at z = ±a/2 and the plane of each loop is parallel to the xy- plane. Find the magnetic field at a point (0, 0, 2) on the symmetry axis. What is the magnetic dipole moment of the system? Expand B(z) for z ≫ a keeping the lowest order term in a/z.A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky® with ends joined to make a circle. Consider a toroid consisting of N turns of a single wire with current I flowing through it. (Figure 1) Consider the toroid to be lying in the re plane of a cylindrical coordinate system, with the z axis along the axis of the toroid (pointing out of the screen). Let represent the angular position around the toroid, and let r be the distance from the axis of the toroid. For now, treat the toroid as ideal; that is, ignore the component of the current in the direction. Figure 00 Ampèrean loop (a) 1 of 1 (b) Correct Notice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, ✩ × î = Ô. Part C What is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid? Express the magnetic field in terms of I, μo (the permeability of free space), N, and r. ► View…
- please answer d onlySuppose there were an asteroid approaching the Earth-Moon system starting from rest at infinity. Under what conditions would it experience forces directing it toward a collision with the Moon rather than toward a collision with Earth? If it were on a path within a narrow cone where the field lines converge directly toward the Moon it would go there. Otherwise it would end at Earth. All the field lines converge at the Earth rather than the Moon. The field at a distance would take take it with equal probability toward the Earth or toward the Moon. The field would take it mostly through the empty space between Earth and Moon with no collisionA particle of charge q and mass m is accelerated from rest through a potential difference V, after which it encounters a uniform magnetic field B. Follow below steps to find the radius of its circular orbit. Hint a. After being accelerated through potential difference V, what is the speed v of the charged particle? Hint for (a) V = (Give your answer in terms of given quantities above; be careful to distinguish V the voltage from v the speed. To enter ve (for example), type in "sqrt(e)"-or you may use exponent notation, "x^(1/2)" for æ7.) b. Inside the region of magnetic field B, assuming the velocity v is perpendicular to the magnetic field B, what force does the charged particle experience? Hint for (b) The charged particle experiences force of magnitude (answer in terms of given variables), in the direction Select an answer c. The force you found in (b) above becomes the centripetal force for the charge as it undergoes a uniform circular motion. What is the radius of curvature of the…
- Question A5 Consider an infinitely large sheet lying in the zz-plane at the origin, the extent of the sheet in the x, and z direction is infinite. The sheet carries surface current J = Jok, where Jo is the current per unit width perpendicular to the flow. Calculate the magnetic field everywhere (y > 0 and y < 0) due to J. Sketch the Amperian loop.function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)can i get some help with d