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An Ideal Air-Filled Parallel-Plate Capacitor Consists of Plates That Are 1.0 mm1.0 \mathrm {~mm}

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An ideal air-filled parallel-plate capacitor consists of plates that are 1.0 mm1.0 \mathrm {~mm} apart and have an area of 1.5×104 m21.5 \times 10 ^ { - 4 } \mathrm {~m} ^ { 2 } . The capacitor is connected to a 12V12 - \mathrm { V } potential source (battery). (ε0=8.85×1012C2/Nm2\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?

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