Suppose that a parallel-plate capacitor has a dielectric that breaks down if the electric field exceeds k v/m. thus, the maximum voltage rating of the capacitor is vmax=kd, where d is the separation between the plates. in working problem p3.33, we find that the maximum energy that can be stored is wmax=12ϵrϵ0k2(vol) in which vol is the volume of the dielectric. given that k = 32 × 105v/m and that ϵr = 1 (the approximate values for air), find the dimensions of a parallel-plate capacitor having square plates if it is desired to store 1 mj at a voltage of 2000 v in the least possible volume.

1. consider the case in which air fills air shocks on a truck trailer. the pressure in the shocks is 2 mpa. the temperature is 300 k. the diameter of the shock piston is 10 cm and the initial length of the cylindrical cavity containing the compressed air is 40 cm. a. the truck is gradually loaded over a period of a day in a static setting. the temperature is held constant for the atmosphere and thus for the gas shock. calculate the compressibility of the air in the shock for this condition when the truck is initially being loaded. b. if the shocks were loaded in a dynamic setting by driving over bumps, what would be the compressibility? state your assumption. c. what is the initial load on the shock if the shock is in an atmospheric 100 kpa? d. if the shock is compressed using the process described in part a, and the air shock compressed air cavity length decreases to 20 cm, what is the additional load applied to the shock?

Aplane takes off from an airport and flies to town a, located d1 = 215 km from the airport in the direction 20.0° north of east. the plane then flies to town b, located d2 = 230 km at 30.0° west of north from town a. use graphical methods to determine the distance and direction from town b to the airport. (enter the distance in km and the direction in degrees south of west.)

Why don't you see your reflection in water with waves or repples