Answer to Question #245840 in Electrical Engineering for jinbitchon

Question

A parallel plate capacitor is made of 250 plates separated by a

dielectric 0.0012cm thick. The effectíve size of thé plate is 12cm x

24cm. If the dielectric constant is 2.5, what is the capacitance of

this capacitor?

Answer 1

Capacitance of a single capacitor:

$$C=\frac{\epsilon\epsilon_0A}{d}=\frac{\epsilon\epsilon_0ab}{d}.$$

250 plates are 125 capacitors connected in parallel:

$$C_T=125C=6.64\space\mu\text{F}.$$