Two Dielectric Materials in Capacitor

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SUMMARY

The discussion focuses on calculating the total capacitance of a capacitor filled with two dielectric materials, specifically with dielectric constants k1 = 3.20 and k2 = 7.50. The capacitor has parallel plates with an area of A = 7.3 m² and a separation distance of d = 0.150 m, with each dielectric occupying half the distance (d/2). The correct approach involves using the formula C = Aε₀k / d for each dielectric and recognizing that they are in series, leading to the total capacitance calculation as C_total = C1 + C2.

PREREQUISITES
  • Understanding of capacitor fundamentals and capacitance formulas
  • Knowledge of dielectric materials and their properties
  • Familiarity with series and parallel circuit configurations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the capacitance formula C = Aε₀k / d
  • Learn about the effects of different dielectric materials on capacitance
  • Explore the concept of capacitors in series and parallel configurations
  • Investigate practical applications of capacitors in electronic circuits
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Students studying electrical engineering, physics enthusiasts, and anyone involved in designing or analyzing capacitors with multiple dielectric materials.

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Homework Statement


A capacitor consisting of two parallel plates of area A = 7.3 m2 and spacing d = 0.150 m is filled with two parallel slabs of dielectric material of equal thickness and with dielectric constants 1 = 3.20 and 2 = 7.50, respectively. What is the total capacitance?

k1 fills the top half, k2 fills the bottom half. each are d/2 thick


Homework Equations


C=Ae0k / d


The Attempt at a Solution


I tried to find the length of the capacitor using A=length*d so the length would be A/d
and used that for A in the equation. I think I should be using C= C1 + C2 so both equations are the same except different k's
not sure if this is the right approach. i also used d as d/2 for each individual dielectric
 
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forgot its in series. got my answer!
 

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