1. A point-charge q moving at velocity valong the z-axis is passing through the coordinate origin (a) Calculate aEa t in the Coulomb approximation on the +z-axis ahead of the charge [qy2π4 (b) Use th...
1. A point-charge q moving at velocity valong the z-axis is passing through the coordinate origin (a) Calculate aEa t in the Coulomb approximation on the +z-axis ahead of the charge [qy2π4 (b) Use the Biot-Savart law to calculate Βφ off-axis near the point in (a), ati distance r« z from it (use (c) Check (i) that VxB has the expected value (predicted by the relevant Maxwell's equation) in the cylindrical coordinates)o1. neighborhood of the point in question, and (ii) that fB.dl has the expected value around the small circle of radius r centered at the specified point, in the plane , the axis.
1. A point-charge q moving at velocity valong the z-axis is passing through the coordinate origin (a) Calculate aEa t in the Coulomb approximation on the +z-axis ahead of the charge [qy2π4 (b) Use the Biot-Savart law to calculate Βφ off-axis near the point in (a), ati distance r« z from it (use (c) Check (i) that VxB has the expected value (predicted by the relevant Maxwell's equation) in the cylindrical coordinates)o1. neighborhood of the point in question, and (ii) that fB.dl has the expected value around the small circle of radius r centered at the specified point, in the plane , the axis.