MATHEMATICS

Consider a nonpolarized 100 nF capacitor design at 60 Hz operation. Note that there are three

candidate dielectrics, as listed in Table 7Q11-1.

a. Calculate the volume of the 100 nF capacitor for each dielectric, given that they are to be used

under low voltages and each dielectric has its minimum fabrication thickness. Which one has the

smallest volume?

b. How is the volume affected if the capacitor is to be used at a 500 V application and the maximum

field in the dielectric must be a factor of 2 less than the dielectric strength? Which one has the

smallest volume?

c. At a 500 V application, what is the power dissipated in each capacitor at 60 Hz operation? Which

one has the lowest dissipation