A vector Magnetic potential given by relation A=5p(p)k in cylindrical coordinates (up, Ug, k). find the electric field at the Cartesian coordinates (i, j, k)
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- The figure illustrates a portion of a printed circuit board (PCB) traces routing. It consists of a thin straight section which leads to a wide curved section before branches to another part of PCB layouts. The sections are intended to carry a total current I. An H field is expected to be induced by the two current carrying sections at point P (0,0,0). Determine the vector form of H at P (0,0,0). (Neglect the thickness of the trace and assume the curved section to be a part of a circular annular disc) Plane z = 0 a (a+b)/2 Thin trace section Wide curved trace section -LFind the angle (in degrees) for which the electric field will be a maximum.Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown. The non-uniform current density J is out of the page and varies with distance r fromthe center as J=J0rk (k is k hat) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre,(magnitude and direction). Sketch the Amperian loop.
- Biot-Savart’ s Law. 2. Line x = O, y = 0, 0 ¡ z ¡ 10 m carries current 2 A along az. Calculate H at points:(a) (5,5,0)(b) (5,15,0)(c) (5,-15,0)Answer as soon as u can (30 minutes left)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.
- Calculate the electric field at the center of a dielectric cylinder of circular cross-section of height h and radius a with a permanent uniform polarization P0 perpendicular to its circular faces.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 currenttromagnetic interactions Determine the strength of the net clectric ficld at a location midway betwcen two point charges. The charges are Q1 = +8.32 * 10-9 C and Q2 = +6.01* 10-º C. The separation distance is 24.6 cm. Suggestion: construct a diagram of the arrangement of two charges and compute cach individual electric field; then sum to determine the net clectric ficld.
- We will do the following processes:a) First we take three point particles of mass (m1, m2, m3) from infinity and glue them to positions (x1, x2, x3) relative to some global inertial reference system.b) We now carry three positively charged particles qi, i ∈ (1, 2, 3) from infinity and glue them to positions (y1, y2, y3) relative to some global inertial reference system.Explain of these two processes if the external world gained or lost energy?Evaluate the energy gained or lost from the outside world. Is there conservation of energy in these processes?Conducting cone theta = 28 degrees of infinite extent has V = 2V above infinite grounded conducting plane on xy plane Find the electric field intensity E at point (3, 38 degrees, 62 degrees)b) Find the magnetic field H at point P for the infinitely long current carrying conductor as in Fig. 3 (b) below A y в P Fig. 3 (b)