26. Capacitors & Dielectrics
Intro To Dielectrics
2PRACTICE PROBLEM
A paper slab is inserted between the plates of an air-filled parallel plate capacitor. The space between the plates is completely filled by the paper slab. The dielectric constant K and dielectric strength of the paper slab are 3.7 and 1.6 × 107 V/m, respectively. i) Find the energy density stored in the capacitor if the electric field between the plates is 1/4 of the dielectric strength. ii) The capacitor is attached to a 100.0 V power source that maintains a constant electric field equal to 1/4 of the dielectric strength between the plates. The energy stored in the capacitor is 12.5 µJ. Find the area of the plates.
A paper slab is inserted between the plates of an air-filled parallel plate capacitor. The space between the plates is completely filled by the paper slab. The dielectric constant K and dielectric strength of the paper slab are 3.7 and 1.6 × 107 V/m, respectively. i) Find the energy density stored in the capacitor if the electric field between the plates is 1/4 of the dielectric strength. ii) The capacitor is attached to a 100.0 V power source that maintains a constant electric field equal to 1/4 of the dielectric strength between the plates. The energy stored in the capacitor is 12.5 µJ. Find the area of the plates.
ANSWERS OPTIONS
A
i) 7.08 × 101 J/m3 ii) 0.7 cm2
B
i) 2.62 × 102 J/m3 ii) 19 cm2
C
i) 7.08 × 103 J/m3 ii) 7 cm2
D
i) 2.62 × 104 J/m3 ii) 0.19 cm2