ELE 3213 Engineering Electromagnetics Homework 2 Subject: LO2: Electrostatics, Chapter 2: Coulomb's Law and Electric Field Intensity D2.1. A charge QA = -20 μC is located at A(-6, 4, 7), and a charge QB = 50 μC is at B(5, 8, -2) in free space. If distances are given in meters, find: (a) RAB: (b) RAB. Determine the vector force exerted on QA by QB if co = (c) 10/(36) F/m: (d) 8.854 x 10-12 F/m. D2.2. A charge of -0.3 μC is located at A(25,-30, 15) (in cm), and a second charge of 0.5 μC is at B(-10. 8, 12) cm. Find E at: (a) the origin; (b) P(15, 20, 50) cm. 5 D2.3. Evaluate the sums: (a) 1+(-1) m²+1 (b) (0.1) +1 m=0 m=1 (4+m²)1.5 D2.4. Calculate the total charge within each of the indicated volumes: (a)0.1≤ 1 x. y. z≤0.2: p = 33-3 p²² sin 0.60: (c) universe: p, (b)0≤ p ≤ 0.1.0 <0.2<≤4:p, = e21/p². D2.5. Infinite uniform line charges of 5 nC/m lie along the (positive and negative) x and y axes in free space. Find E at: (a) PA(0. 0. 4); (b) P(0, 3. 4). D2.6. Three infinite uniform sheets of charge are located in free space as follows: 3 nC/m² at z = -4. 6 nC/m² at: 1. and -8 nC/m² at z = 4. = Find E at the point: (a) PA(2. 5,-5); (b) P(4. 2.-3); (c) Pc(-1.-5. 2); (d) Pp(-2.4.5).