Aslab of charge with charge density p(z) = 2 poz/d extends from z = -d/2 to z= +d/2 and is infinite in extent in the x - and y directions. assume the permittivity in all regions is 80. (a) using the principle of superposition and results proved in lectures, write down an expression for the electric field e(z) everywhere within and outside the slab of charge. provide all working. (b) verify that your answer satisfies gauss' law in differential form. (c) write down an expression for the electric potential $(z) at points inside and outside the slab. (d) calculate the total energy per unit area stored in the slab using your answer to (a).

Why there is no inductive reactance in dc circuits

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

While you are driving in the lane next to the curb on a multi-lane road the car on your left suddenly moves toward you lane. they are about toy crash into your front fender. you