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A Charged Particle Moving in a Uniform Magnetic Field A particle with a charge of 1.3 nC and a mass of 1.4×〖10〗^(-9) kg moves with velocity v ⃗=(1.5×〖10〗^4 m/s)i ̂+(1.2×〖10〗^4 m/s)j ̂ as it enters a uniform magnetic field of B ⃗(1.4 T)i ̂. Determine the magnetic force acting on the particle as it enters the field. Describe the path of the particle, and determine its radius. Find the time it takes for the particle to complete one revolution. Find the distance the particle travels along the magnetic field lines as it completes one revolution.
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Polymer Physics
Calculate a Line Integral for a Current-Carrying Wire Consider an infinitely long wire with current I running through it. Calculate the line integral of the scalar product of the field and the infinitesimal path length along a closed circle of radius r, whose plane is perpendicular to the wire and whose centre coincides with it (Figure 24-33).
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Polymer Physics
The Magnetic Field around a Long Straight Current-Carrying Wire Find the magnetic field at a distance of 1.0 m from a long straight wire carrying a current of 1.0 A.
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Polymer Physics
The Magnetic Field inside and outside a Long Straight Current-Carrying Wire Determine the magnetic field inside and outside a long straight wire of radius R carrying an electric current I. Plot how this magnetic field depends on the distance from the wire. Clearly indicate the assumptions you are making to solve the problem.
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Polymer Physics
Coils in an MRI Magnet Some MRI scanners need a magnetic field of 3.0 T. How many loops per metre does an electromagnet require to produce this magnetic field with a current of 15 A?
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Polymer Physics
The Magnetic Field Created by a Circular Current-Carrying Loop In the previous section, we discussed the fact that a current-carrying circular loop creates a magnetic field. (a) Derive an expression for the magnetic field along the axis of symmetry of a circular loop of radius R that carries an electric current I (Figure 24-34). (b) Find the magnetic field at the centre of the ring. (c) Find the magnetic field a very large distance away from the ring’s centre along its axis of symmetry. (d) Express the answer in (c) in terms of the magnetic dipole moment of the loop, and comment on the distance dependence of the magnetic field at large distances.
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Polymer Physics
The Magnetic Field Created by an Infinitely Long Straight Current-Carrying Wire Find the magnetic field created by a straight current-carrying wire of length L with current I running through it, at point P located a distance R from the wire along its perpendicular bisector (Figure 24-32). Using your result in part (a), find the magnetic field due to an infinitely long current-carrying wire. Fig.24-32 Calculating the magnetic field created by a long straight current-carrying wire of length L at point P located a distance R from the wire along its perpendicular bisector.
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Polymer Physics
Get that Fly A tarantula is on a wall 21 cm below a nail. It moves down to a point 64 cm below the nail to catch a fly, and then takes the fly straight up to a position 32 cm above the nail, as shown in Figure 3-3. (a) Find the displacement of the tarantula. (b) Find the distance covered by the tarantula.
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Polymer Physics
