An Ideal Air-Filled Parallel-Plate Capacitor Consists of Plates That Are $1.0 \mathrm {~mm}$

question 84

Short Answer

An ideal air-filled parallel-plate capacitor consists of plates that are $1.0 \mathrm {~mm}$ apart and have an area of $1.5 \times 10 ^ { - 4 } \mathrm {~m} ^ { 2 }$ . The capacitor is connected to a $12 - \mathrm { V }$ potential source (battery). $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )
(a) What is the capacitance of this capacitor?
(b) How much charge is on each of its plates?
(c) What is the strength of the electric field between the plates?