Suppose that a parallel-plate capacitor has a dielectric that breaks down if the electric field exceeds K V/m. Thus, the maximum voltage rating of the capacitor is V max =K d, where d is the separation between the plates. In working Problem P3.33, we find that the maximum energy that can be stored is w max = 1 2 ∈ r ∈ 0 K 2 (Vol) in which Vol is the volume of the dielectric. Given that K=32× 10 5 V/m and that ∈ r =1 (the approximate values for air), find the dimensions of a parallel-plate capacitor having square plates if it is desired to store 1 mJ at a voltage of 1000 V in the least possible volume.
Suppose that a parallel-plate capacitor has a dielectric that breaks down if the electric field exceeds K V/m. Thus, the maximum voltage rating of the capacitor is V max =K d, where d is the separation between the plates. In working Problem P3.33, we find that the maximum energy that can be stored is w max = 1 2 ∈ r ∈ 0 K 2 (Vol) in which Vol is the volume of the dielectric. Given that K=32× 10 5 V/m and that ∈ r =1 (the approximate values for air), find the dimensions of a parallel-plate capacitor having square plates if it is desired to store 1 mJ at a voltage of 1000 V in the least possible volume.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Suppose that a parallel-plate capacitor has a dielectric that breaks down if the electric
field exceeds K V/m. Thus, the maximum voltage rating of the capacitor is V max =K d, where d
is the separation between the plates. In working Problem P3.33, we find that the maximum
energy that can be stored is w max = 1 2 ∈ r ∈ 0 K 2 (Vol) in which Vol is the volume of the
dielectric. Given that K=32× 10 5 V/m and that ∈ r =1 (the approximate values for air), find the
dimensions of a parallel-plate capacitor having square plates if it is desired to store 1 mJ at a
voltage of 1000 V in the least possible volume.
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