A point charge Q1=2mc is located at P1(-3,7,-4) in free space while Q2=-5mc is at P2(2,4,-1). Find the vector force on Q2. Find the Electric Flux Density at P(6,8,10) caused by a point charge of 30nC located at the origin.

4 2. The figure here depicts a long solenoid that contains two different magnetic materials. The materials on the left and right sides of the solenoid have permeabilities and ₂, respectively, and each has the same radius as the solenoid. Find the surface current densities (Jis and J2s) on each side of the solenoid that generate a uniform, axially directed B-field throughout the inside of the solenoid and no field outside. a J₁s = J₁são J2s = J2sa 221 20000000000000000" ܐܐܘܘ B 65 42 {********00000000" 3. A coaxial cable consists of two very long cylindrical tubes, separated by a material of permeability 2

Two parallel and coaxial current loops of radius, a, are separated by a distance, D. When you look at the loops along the axis, you notice that the current direction for both loops is not the same. What is the magnitude of the magnetic field at a location halfway between the loops on the axis? A. B. C. D. O Hola² 4(a² + D²)³/2 Hola2 2(a² + D²) ³/₂ 0 2μ01 D

There are four charges, q1 = 2nC, q2 = -2nC, q3 = 1nC, and q4 = -1nC. Draw 3 Gaussian surfaces enclosing 2 of the charges where; the net flux is zero (label surface S1), the net flux is going out of the surface (label this surface S2), and finally the net flux is coming into the surface (label surface S3). q1 q2 q3 q4