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Each Plate of an Ideal Air-Filled Parallel-Plate Capacitor Has an Area

Question 72

Multiple Choice

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0020 m20.0020 \mathrm {~m} ^ { 2 } , and the separation of the plates is 0.090 mm0.090 \mathrm {~mm} . An electric field of 2.1×106 N/C2.1 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C } is present between the plates. What is the surface charge density on the plates? (ε0=8.85×1012C2/Nm2) \left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)


A) 28μC/m228 \mu \mathrm { C } / \mathrm { m } ^ { 2 }
B) 47μC/m247 \mu \mathrm { C } / \mathrm { m } ^ { 2 }
C) 9.3μC/m29.3 \mu \mathrm { C } / \mathrm { m } ^ { 2 }
D) 39μC/m239 \mu \mathrm { C } / \mathrm { m } ^ { 2 }
E) 19μC/m219 \mu \mathrm { C } / \mathrm { m } ^ { 2 }

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