E = Eo cosW - t) ââ + Eo sin w
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Find the magnetic field B and the Poyting vector S from the Maxwell equation when the electric field is as follows.
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- At a point P on the center axis of a magnetic field created by a sufficiently long solenoid, we divide the magnetic field strength vector into a circular loop of the solenoid coil as shown below to add all the magnetic fields they create. (Let's simplify to continuous which isn't continuous). Complete this task to show that the magnetic field strength is "first image"at P point.function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)A very thin coire carrying current To is embedded cylindrical Current carrying cylinder of RADIUS R Current 210 is embedded Spread Cross- Sectional area 7.) FinD B(r) at point p inside the cylinder Cr₂R) a radia Distance from the center of the cylinder FO in a with the out evenly thorough its
- A particle of charge q moves in a circle of radius a at constant angular velocity w. (Assume that the circle lies in the xy plane, centered at the origin, and at time t=0 the charge is at (a,0), on the positive x axis.) a) Find the electric and magnetic fields at the center. b) From your formula for B you obtained in a), determine the magnetic field at the center of a circular loop carrying a steady current I.A long straight cylindrical shell has an inner radius R; and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < R;). The magnetic field is zero everywhere in the hollow region. We conclude that the wire: O is on the cylinder axis and carries current i in the same direction as the current in the shell may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell O does not carry any currentUsing Maxwells equations, determine the conditions which the electric filed vectors E and D become fully decoupled from the magnetic vector fields. Under which conditions, the equations governing E and D are independent from those governing H and B?