The magnetic field corresponding to the vector potential A =Fxr +r, where F is a constant vector, is
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A: GivenB=0.75 Tm=6.58×10-27 kgqe=1.602×10-19 C
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Q: A long solenoid with 10.0 turns/cm and a radius of 10.1 cm carries a current of 29.8 mA. A current…
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Q: A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is…
A: particle having mass m = 2.80E-4 kg negative charge q= −1.70E-6 C . The particle is given an…
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- Consider a short wire of length L, carrying a current I to the left. Define coordinates so that the wire is along the à axis, the current flows in the - direction, the y axis is vertical in the plane of the page and the 2 axis points out of the page. Which of the following expressions is an ap- proximate expression for the magnetic field at a point P on the y axis very close to the wire, i.e. a distance y < L below the mid- point of the wire? 1. B= 2(y2 + L2) O 2. B 0 3. B Hol 2ny Hol 4Vy2 + L² 4. B = Hol 4Ty 5. B = %3D O 6. B=-00 O, B = 47 (y2 + L2) 8. B = 27 Vy? + L2 40IL 2ny? 9. B = 10. B – _ 40! 2nyLet x=0 be the beginning of the magnetic field. Express the area (A), and express vw in terms of the area. Then what is vBw in terms of magnetic flux? The magnetic force on the conducting charges is an EMF, an electromotive force. Use these to derive the following expression for the EMF: Please see attachments for details on question and diagram.An electron is instantaneously located at the origin and had a velocity of v = (5.0 × 107 , 0. 0 ,0. 0)m/s. At this moment, find the vector magnetic field at the two locations: (3.0,4. 0, 0. 0)m and (5. 0,0. 0, 0. 0)m. Express your answer as a vector.
- In a given region of space, the vector magnetic potential is given by A = x5 coszy + z(0.2+ sin zx) mWb/m. The magnetic flux passing through a square loop with 0.25 cm long edges if the loop is in the x-y plane, its center is at the origin, and its edges are parallel to the x- and y- axis?In the figure below, the current in the long, straight wire is I1 = 5.00 A, and the wire lies in the plane of the rectangular loop, which carries 10.2 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and script l = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight loop.a) A wire of length L carrying a current of magnitude I is shown on the figure. Find the magnetic field vector at point P. Hint: You may find the following integrals useful: 1 1 -dx a Jx² +a? (x* +a*)* 1 -dx =- (x² +a*)* direction of current 2 X a P L 2
- A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 2.41E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the the magnetic force that B exerts on the particle (in N; use positive sign if the force points in the +x direction and negative sign if the force points in the −x direction)?Let v the velocity of a particle in a constant magnetic field B. We wish to decompose v into v = v⊥ + vk where v⊥ is perpendicular to the magnetic field and vk is parallel to it. Derive vector expressions for v⊥ and vk in terms of v and B.