Physics, 03.03.2020 02:56 Ashtree519

The area of each plate of a parallel plate capacitor is 0.021 m2. The plates are 2.75 mm apart with a dielectric material (κ = 3.0) between them. The maximum possible electric field between the plates is 3.25 ✕ 105 V/m. What is the maximum energy that can be stored in the capacitor?

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Answer from: cathydaves

Explanation:

The given data is as follows.

Dielectric constant, K = 3.0

Area of the plates (A) = 0.021 $m^{2}$

Distance between plates (d) = $2.75 \times 10^{-3} m$

Maximum electric field (E) = $3.25 \times 10^{5} V/m$

Now, we will calculate the capacitance as follows.

C = $\frac{k \epsilon_{o} \times A}{d}$

= $\frac{3.0 \times 8.85 \times 10^{-12} \times 0.021}{2.75 \times 10^{-3}}$

= $\frac{0.55755 \times 10^{-12}}{2.75 \times 10^{-3}}$

= $0.203 \times 10^{-9}$ F

Formula to calculate electric charge is as follows.

E = $\frac{\sigma}{k \epsilon_{o}}$

or, Q = $E \times k \times \epsilon_{o}A$ (as $\frac{\sigma}{\epsilon_{o}} = \frac{Q}{A}$ )

= $3.25 \times 10^{5} \times 3.0 \times 8.85 \times 10^{-12} \times 0.021$

= $181.2 \times 10^{-9} C$

Formula to calculate the energy is as follows.

U = $\frac{1 \times Q^{2}}{2 \times C}$

= $\frac{(181.2 \times 10^{-9} C)^{2}}{2 \times 1.6691 \times 10^{-9}}$

= $\frac{32833.44 \times 10^{-18}}{3.3382 \times 10^{-9}}$

= $9835.67 \times 10^{-9}$

or, = $98.35 \times 10^{-7} J$

Thus, we can conclude that the maximum energy that can be stored in the capacitor is $98.35 \times 10^{-7} J$ .

Answer from: Quest

it is very well related to a lot of things but with my limited knowledge i can confidently say that the answer is space.

Answer from: Quest

sequence is a continuous and distinctive band of stars that appears on plots of stellar color versus brightness. these color-magnitude plots are known as hertzsprung–russell diagramsafter their co-developers, ejnar hertzsprungand henry norris russell. stars on this band are known as main-sequence stars or dwarf stars. these are the most numerous true stars in the universe, and include the earth's sun.after condensation and ignition of a star, it generates thermal energy in its dense core region through nuclear fusion of hydrogen into helium. during this stage of the star's lifetime, it is located on the main sequence at a position determined primarily by its mass, but also based upon its chemical composition and age. the cores of main-sequence stars are in hydrostatic equilibrium, where outward thermal pressure from the hot core is balanced by the inward pressure of gravitational collapse from the overlying layers. the strong dependence of the rate of energy generation on temperature and pressure to sustain this balance. energy generated at the core makes its way to the surface and is radiated away at the photosphere. the energy is carried by either radiation or convection, with the latter occurring in regions with steeper temperature gradients, higher opacity or both.the main sequence is sometimes divided into upper and lower parts, based on the dominant process that a star uses to generate energy. stars below about 1.5 times the mass of the sun (1.5 m☉) primarily fuse hydrogen atoms together in a series of stages to form helium, a sequence called the proton–proton chain. above this mass, in the upper main sequence, the nuclear fusion process mainly uses atoms of carbon, nitrogen and oxygen as intermediaries in the cno cycle that produces helium from hydrogen atoms. main-sequence stars with more than two solar masses undergo convection in their core regions, which acts to stir up the newly created helium and maintain the proportion of fuel needed for fusion to occur. below this mass, stars have cores that are entirely radiative with convective zones near the surface. with decreasing stellar mass, the proportion of the star forming a convective envelope steadily increases. main-sequence stars below 0.4 m☉undergo convection throughout their mass. when core convection does not occur, a helium-rich core develops surrounded by an outer layer of hydrogen.in general, the more massive a star is, the shorter its lifespan on the main sequence. after the hydrogen fuel at the core has been consumed, the star evolves away from the main sequence on the hr diagram, into a supergiant, red giant, or directly to a white dwarf.

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The area of each plate of a parallel plate capacitor is 0.021 m2. The plates are 2.75 mm apart with...

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