EC501-Wave Propagation and Radiation Assignment 1 1. Given a point P (-2,6,3) and vector A = y a x + (x+z) a y . Evaluate A at P in cylindrical & spherical systems. 2. Given the vector field at point (1,π/3,0) is H = ρz cosφ a ρ + sinφ/2 a φ + a z . Calculate: a) H a x b) H a θ c) The vector component of H normal to surface ρ = 1. d) The scalar component of H tangential to the plane z = 0. 3. A point charge Q 1 = 10μC is located at P 1 (1,2,3) in free space, while charge Q 2 = -5 μC is at P 2 (1,2,10). (a) Find the vector force exerted on Q 2 by Q 1 . (b) Find the co-ordinates of P 3 at which a point charge Q 3 experiences no force. 4. Four point charges each 10μC, are plac ed in free space at points (5,0,0) , (-5,0,0) ,(0,5,0) and (0,-5,0)m respectively. Determine the force on a point charge of 100μC located at point (0,0,5)m. 5. Four 3-pC charges are at the corners of a 1-m square. The two charges on the left side of the square are positive. The two charges on the right side are negative. Find the field
This is the end of the preview. Sign up
access the rest of the document.