The vector potential in a region is given by A1 Find the magnetic field B.
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- A magnetic sensor is mounted on a robotic spacecraft that is moving with velocity v in the direction of the Large Magellanic Cloud. A cloud of stray positive ions from the solar wind, also moving in the same direction with velocity v, surrounds the spacecraft. The software on the spacecraft sets up the magnetic sensor to measure the magnetic field of the cloud of positive ions. Which of the following statements is correct (select all that apply)? O The reading on the spacecraft's magnetic field sensor will show a value that is proportional to the total mass of the ion cloud O The reading on the spacecraft's magnetic field sensor will show a value that is proportional to the volume of the ion cloud O The reading on the spacecraft's magnetic sensor will show a value that is proportional to the total amount of charge in the ion cloud O The magnetic field produced by the ion cloud is not detectable by the spacecraft's magnetic sensorA proton moves with a velocity of = (6î – 4ĵ + k) m/s in a region in which the magnetic field is B = (1 + 2ĵ – k) T. What is the magnitude of the magnetic force this particle experiences? N Need Help? Read It Watch ItIn vacuum, magnetic force on a moving charged particle provides an acceleration to the particle. Thus, it also changes the kinetic energy of the particle. O True O False The direction of magnetic force is perpendicular both to the velocity of the particle and to the magnetic field. True O False The net magnetic force acting on any closed current-carrying loop in a uniform magnetic field is zero. True O False All electric field lines are continuous and always form closed loops. OTrue False
- Consider a long, horizontal Large Wire with current of 10 A running through it. We want to levitate a horizontal, thin, 0.50 m length of wire above it. If the thin wire has a mass of 10 grams, and a current of 300 mA, how far above the Large Wire will it hover (net force of zero) due to magnetic and gravitational forces? A. If the thin wire hovers above the Large Wire due to their magnetic fields, are their currents going the same direction, or opposite directions. Explain. B. Draw a diagram and label the directions of currents, and all other relevant quantities and vectors. C. Find the distance above the Large Wire the small thin wire will hover (net force of zero). D. Would your answers to parts A and C change if we wanted to find a distance below (rather than above) the Large Wire that the smaller thin wire could hover, due to their magnetic fields. Explain. Don't calculate any values but draw a new diagram and explain how this situation compares to the problem above.A wire has a current of 15 A going to the right. What is the B field and its direction 0.5 m below the wire? What is the force and direction on a proton traveling 150 m/s to the right at this point?Three particles with the same magnitude charge are shot with the same speed into a uniform magnetic field. Which particle(s) has/have the largest mass? A