3 - In a region the electric field is given as Ē = V(x2y/3), find the charge density p and the magnetic field Ē?
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- 2. An electron has a speed of 1.4 x 106 m/s. It travels through a 3.8 T magnetic field that is perpendicular to its velocity. An electric field is perpendicular to the B field and the velocity of the electron. The electron's velocity is constant. Find the magnitude of the electric field.Pr2. A very long, straight current-carrying wire is bent at the middle two different ways, so that it takes the shapes depicted in figures a) and b). Find the direction and magnitude of the magnetic field in both cases at the center C of the semicircle (of radius R = 10 cm), if the current flowing in the wire is I = 2 A. a) b) С.Q1:A phonograph record carries a uniform surface charge density a (static electricity). If it rotates at an angular velocity w a) What is the surface current density K a distance r from the center? b) Find the magnetic field at a point Z> R on the axis.
- Apply error propagation to determine the associated uncertainty in the average volume… Plz3. A long cylindrical wire of radius R carrios a current I. The current density is non-uniform and can be expressed as J(r) = Jor? for 0 < r1. A wire carrying a 40-A current passes between the poles of a strong magnet that is perpendicular to its field and experiences a 2.42-N force on the 4.3 cm of wire in the field. What is the average magnetic field strength? Things to Prepare: 1. Draw a sketch of the scenario in your notebook. Draw a vector respresenting the average magnetic field generated by the strong magnet. As no other information is given, the vector can be drawn in any diretion. Draw the current-carrying wire with respect to the field vector drawn above, making sure that it is perpendicular to the field. B= TFields of an electron At a particular instant a proton is at the origin, moving with velocity m/s. At this instant: (a) What is the electric field at location m, due to the proton? E = N/C (b) What is the magnetic field at the same location due to the proton? B= T3. Current head-on to point P: Consider the case where the current is heading straight toward the point where we want the magnetic field. What is the magnetic field at the point P shown? Hint: consider a small piece ds and think about what the Biot-Savart law tells you. Holds x f 4πr2 Think about the angle between ds and î. dB 7 D P