1 Determine the magnetic field intensity (H) at P2(0, 5, 0) in the field of an 50 A filamentary current directed inward from infinity to the origin on the positive x axis, and then outward to infinity along the z axis. 2 Circular loop coil of 200 turns with a radius of 0.25 (meter) is placed in z=0 plane normal to the time varying flux of density B= 10*cos(4лp)*sin(200t) Tesla. Calculate: 1- The total flux crossing the coil. 2- The induced emf at the teminals of the coil. 3 3 3 A conductor of circular cross section has a radius of 10 cm and carries 20 A in the z direction. 3 1- The current density inside the conductor 2- The magnetic field intensity at a point 3 mm from the conductor axis 3- The total flux per unit length inside the conductor 4- The total flux per unit length outside the conductor from conductor surface to 1 meter from the conductor axis. 4 In the magnetic circuit: N1=100 turns, 11-1A de, N2 =50 turns, 12-0 A, le1=le2-40 cm, le3-10 cm, Cross section area of core=11-1A 100 cm2, the relative permeability of core (ur 500). Calculate: 1- The emf and mmf of each coil 2- The flux density produced by coil 1 3- The self and mutual inductances N1 3 5 The plane x=0 is a conducting surface and a 50 nC point charge is located at P(5,4,3). 1- Calculate the potential difference between A(1, 1, 1) and B(2, 2, 2) 2- The electric field intensity at (0, 0, 0) 3- The surface charge density at (0, 0, 0) 12-0 6 Calculate the work done in moving a 2-C charge from P1(1, 0, 0) to P2(2, 0, 0) in the field E =2y2x ax-3yz ay- 4x² az V/m. Find the volume charge density at P3(2,2,2). N2 3