4. With reference to one or more of Maxwell's equations, explain why it is apparently impossible to find a static magnetic field which has a "porcupine" configuration - that is, a surface at which all the field vectors are pointing in the outward direction.
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- A beam of electrons is simultaneously influenced by an homogeneous electric field of 15600 V/m and by a homogeneous magnetic field of 4.62 x 10-3 T. Assume that both fields are perpendicular to the electron beam and to each other. Both fields have to be oriented such that they produce no deflection of the electron beam. a) Draw the relative orientations of the vectors v, E, and B and also the forces of FE and FB .b) Determine the speed of the electrons such that there is no deflection of the electron beam. c) When the electric field is switched off, what is the radius and the period of the electron orbit?a) A DC power line for a light-rail system carries 900 A at an angle of 29.5° to the Earth's 4.96 x 10-5 T field. What is the force on a 100-m section of this line?A wire of mass 10 grams and length 50 cm carries a Southward current of 2A while resting on a horizontal table on Earth. a) If a vertically downward uniform magnetic field of 0.2 T is applied, determine the direction and magnitude of the magnetic force on the wire. b) Determine the acceleration of the wire if its coefficient of kinetic friction with the table is 0.4. c) Determine the direction and magnitude of the smallest uniform magnetic field required to levitate the wire.
- Please make answers clear, thank you!Question 3) A) An electromagnetic flowmeter is to be used to measure blood speed. A magnetic field of 0.175 T is applied across an artery of inner diameter 3.80 mm. The Hall voltage is measured to be 91.4 μV. What is the average speed of the blood flowing in the artery? B) A sodium ion (Na+) moves along with the blood in an artery of diameter 1.00 cm. The ion has mass 22.99 u and charge +e. The maximum blood speed in the artery is 6.05 m/s. Earth’s magnetic field in the location of the patient has magnitude 32.8 μT. What is the greatest possible magnetic force on the sodium ion due to Earth’s field?23. A singly charged ion of mass m is accelerated from rest by a potential difference AV. It is then deflected by a uniform magnetic field (perpendicular to the ion's velocity) into a semicircle of radius R. Now a doubly charged ion of mass m' is accelerated through the same potential difference and deflected by the same magnetic field into a semicircle of radius R' = 2R. What is the ratio of the masses of the ions?
- Determine the magnitude of the current in the wire.Consider a wire segment carrying a constant current of 3.0 A as shown on the attached figure. The arc portion of the segment is a 30◦ portion of a circle, the circle has a radius of 0.60 m. Determine the magnitude and direction of the magnetic field generated by the current at a point P at the center of the circle.1) Consider a thin, straight wire of length L carrying a constant current I and placed along x axis as shown in figure. Determine the magnitude and direction of the magnetic field due to this current at point P located on the y-axis which has a distance a from the end of the wire. X