Question

Two square conducting plates with sides of length L are separated by a distance D.A dielectric slab with constant K with dimensions LXLXD is inserted a distance into the space between the plates, as shown in the figure (Figure 1). Part C Suppose that before the slab is moved by dz, the plates are disconnected from the battery, so that the charges on the plates remain constant. Determine the magnitude of the charge on each plate. Express your answer in terms of the given quantities and appropriate constants. VO A A O O ? Submit Request Answer Part D Show that when the slab is moved dc farther into the space between the plates, the stored energy changes by an amount that is the negative of the expression for du given in part B. Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Figure (< 1 of 1 > Submit Request Answer Part E If F is the force exerted on the slab by the charges on the plates, then du should equal the work done against this force to move the slab a distance dac. Thus dU = -Fdr. Show that applying this expression to the result of part B suggests that the electric force on the slab pushes it out of the capacitor, while the result of part D suggests that the force pulls the slab into the capacitor. Dielectric slab, constant K Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining KD

Answer 1

© on the of the Plates, charge is kept constant then ELV D © FLV (L+(x+1)x)] va fer? Bor (CE) u cover (1 6 (kode] du= U-VO - (K-1) E VE Do 20 dx a since du= -fdx = -(KY) EV²L, dx 20 the force is in the opposite direction to the notion de meaning but the slab feels a force pushing it out